{"id":3723,"date":"2025-06-28T14:02:27","date_gmt":"2025-06-28T06:02:27","guid":{"rendered":"https:\/\/saludpcb.com\/zh\/?p=3723"},"modified":"2025-09-26T06:15:33","modified_gmt":"2025-09-25T22:15:33","slug":"esp-dsp-iir-filters","status":"publish","type":"post","link":"https:\/\/saludpcb.com\/zh\/esp-dsp-iir-filters\/","title":{"rendered":"ESP-DSP \u7cfb\u5217 1 | \u7528 IIR Biquad \u6253\u9020\u9ad8\u6548\u6578\u4f4d\u6ffe\u6ce2\u5668"},"content":{"rendered":"\n<hr class=\"wp-block-separator alignwide has-text-color has-palette-color-1-color has-alpha-channel-opacity has-palette-color-1-background-color has-background is-style-wide\"\/>\n\n\n\n<p><strong>ESP-DSP <\/strong>\u662f Espressif \u5b98\u65b9\u63a8\u51fa\u7684\u6578\u4f4d\u8a0a\u865f\u8655\u7406\u51fd\u5f0f\u5eab\uff0c\u5c08\u70ba ESP32 \u5e73\u53f0\u512a\u5316\uff0c\u80fd\u5354\u52a9\u958b\u767c\u8005\u5feb\u901f\u5be6\u73fe\u5e38\u898b\u7684 DSP \u4efb\u52d9\uff0c\u5982\u6ffe\u6ce2\u5668\u3001FFT\u3001\u5411\u91cf\u904b\u7b97\u7b49\u529f\u80fd\u3002\u5728\u7269\u806f\u7db2\uff08IoT\uff09\u8207\u5d4c\u5165\u5f0f\u61c9\u7528\u4e2d\uff0c\u611f\u6e2c\u5668\u8cc7\u6599\u7d93\u5e38\u53d7\u5230\u74b0\u5883\u96dc\u8a0a\u3001\u96fb\u6e90\u5e72\u64fe\u6216 ADC \u7cbe\u5ea6\u9650\u5236\u5f71\u97ff\uff0c\u5c0e\u81f4\u8a0a\u865f\u8df3\u52d5\u3001\u6f02\u79fb\uff0c\u9032\u800c\u5f71\u97ff\u5224\u65b7\u8207\u63a7\u5236\u6e96\u78ba\u5ea6\u3002<\/p>\n\n\n\n<p>\u70ba\u4e86\u89e3\u6c7a\u9019\u4e9b\u554f\u984c\uff0c<strong>\u6578\u4f4d\u6ffe\u6ce2\u5668\uff08Digital Filters\uff09<\/strong> \u662f\u6700\u5e38\u898b\u4e5f\u6700\u5be6\u7528\u7684\u89e3\u6cd5\u4e4b\u4e00\u3002\u672c\u7bc7\u6587\u7ae0\u5c07\u805a\u7126\u5728 <strong>IIR\uff08Infinite Impulse Response\uff09Biquad \u6ffe\u6ce2\u5668<\/strong> \u7684\u539f\u7406\u8207\u5728 ESP32 \u4e0a\u7684\u5be6\u4f5c\u65b9\u5f0f\uff0c\u4e26\u900f\u904e ESP-DSP \u5957\u4ef6\u4e2d\u7684 API\uff0c\u5feb\u901f\u6253\u9020\u4e00\u500b\u9ad8\u6548\u3001\u4f4e\u6210\u672c\u7684\u8cc7\u6599\u6e05\u7406\u6d41\u7a0b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/saludpcb.com\/zh\/wp-content\/uploads\/2025\/06\/ESP-DSP-Series-Designing-Efficient-Filters-with-IIR-Biquad.jpg\" alt=\"ESP-DSP\" class=\"wp-image-3757\" title=\"\" srcset=\"https:\/\/saludpcb.com\/zh\/wp-content\/uploads\/2025\/06\/ESP-DSP-Series-Designing-Efficient-Filters-with-IIR-Biquad.jpg 1024w, https:\/\/saludpcb.com\/zh\/wp-content\/uploads\/2025\/06\/ESP-DSP-Series-Designing-Efficient-Filters-with-IIR-Biquad-768x768.jpg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-rank-math-toc-block\" id=\"rank-math-toc\"><h2>\u5167\u5bb9<\/h2><nav><ul><li class=\"\"><a href=\"#\u4ec0\u9ebc\u662f-a-io-t\uff1f\">\u4ec0\u9ebc\u662f ESP-DSP\uff1f<\/a><\/li><li class=\"\"><a href=\"#\u4ec0\u9ebc\u662f-lvgl-render\uff1f\">IIR Biquad \u662f\u4ec0\u9ebc\uff1f<\/a><\/li><li class=\"\"><a href=\"#\u74b0\">\u958b\u767c\u74b0\u5883<\/a><\/li><li class=\"\"><a href=\"#\u5c08\u6848\u7d50\u69cb\">\u5c08\u6848\u7d50\u69cb<\/a><\/li><li class=\"\"><a href=\"#\u7a0b\u5f0f\u5be6\u4f5c\">\u7a0b\u5f0f\u5be6\u4f5c<\/a><\/li><li class=\"\"><a href=\"#\u7de8\u8b6f\u548c\u71d2\u9304-1\">\u7de8\u8b6f\u548c\u71d2\u9304<\/a><\/li><li class=\"\"><a href=\"#\u8f38\u51fa\u8207\u6e2c\u8a66\u7d50\u679c\">\u8f38\u51fa\u8207\u6e2c\u8a66\u7d50\u679c<\/a><\/li><li class=\"\"><a href=\"#\u7d50\u8ad6\">\u7d50\u8ad6<\/a><\/li><\/ul><\/nav><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ec0\u9ebc\u662f-a-io-t\uff1f\">\u4ec0\u9ebc\u662f ESP-DSP\uff1f<\/h2>\n\n\n\n<p><strong>ESP-DSP<\/strong> \u662f Espressif\uff08\u6a02\u946b\uff09\u5b98\u65b9\u63a8\u51fa\u7684\u6578\u4f4d\u8a0a\u865f\u8655\u7406\uff08DSP, Digital Signal Processing\uff09\u51fd\u5f0f\u5eab\uff0c\u5c08\u70ba ESP32 \u7cfb\u5217\u6676\u7247\u6700\u4f73\u5316\u3002\u5b83\u4ee5 C \u8a9e\u8a00\u5be6\u4f5c\uff0c\u91dd\u5c0d Tensilica Xtensa \u8655\u7406\u5668\u67b6\u69cb\u9032\u884c\u6027\u80fd\u512a\u5316\uff0c\u652f\u63f4\u6d6e\u9ede\u8207\u5411\u91cf\u5316\u904b\u7b97\uff0c\u80fd\u5728\u8cc7\u6e90\u6709\u9650\u7684\u5fae\u63a7\u5236\u5668\u4e0a\u57f7\u884c\u9ad8\u6548\u80fd\u7684\u6578\u4f4d\u8a0a\u865f\u8655\u7406\u4efb\u52d9\u3002<\/p>\n\n\n\n<p><strong>ESP-DSP \u63d0\u4f9b\u7684\u529f\u80fd\u5305\u542b\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5e38\u898b\u7684\u8a0a\u865f\u8996\u7a97\uff08Hann\u3001Hamming\u3001Blackman \u7b49\uff09<\/strong><\/li>\n\n\n\n<li><strong>IIR\/FIR \u6ffe\u6ce2\u5668<\/strong>\uff08\u542b biquad\uff09<\/li>\n\n\n\n<li><strong>FFT \/ DFT \u983b\u8b5c\u5206\u6790<\/strong><\/li>\n\n\n\n<li><strong>\u5411\u91cf\u8207\u77e9\u9663\u904b\u7b97<\/strong><\/li>\n\n\n\n<li><strong>\u7d71\u8a08\u8207\u6578\u5b78\u904b\u7b97<\/strong><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ec0\u9ebc\u662f-lvgl-render\uff1f\">IIR Biquad \u662f\u4ec0\u9ebc\uff1f<\/h2>\n\n\n\n<p>IIR\uff08\u7121\u9650\u8108\u885d\u97ff\u61c9\uff09\u662f\u4e00\u7a2e\u5e38\u898b\u7684\u6578\u4f4d\u6ffe\u6ce2\u5668\u985e\u578b\uff0c\u76f8\u5c0d\u65bc FIR\uff08\u6709\u9650\u8108\u885d\u97ff\u61c9\uff09\u800c\u8a00\uff0c\u5b83\u7684\u8a18\u61b6\u9ad4\u4f7f\u7528\u91cf\u4f4e\u3001\u8a08\u7b97\u6548\u7387\u9ad8\uff0c\u975e\u5e38\u9069\u5408\u50cf ESP32 \u9019\u985e\u8cc7\u6e90\u6709\u9650\u7684\u5fae\u63a7\u5236\u5668\u4f7f\u7528\u3002<\/p>\n\n\n\n<p>Biquad \u662f\u4e00\u7a2e\u4e8c\u968e\uff08second-order\uff09IIR \u6ffe\u6ce2\u5668\u7d50\u69cb\uff0c\u53ef\u900f\u904e\u591a\u500b biquad \u76f8\u9023\u4f86\u5efa\u69cb\u66f4\u9ad8\u968e\u7684\u6ffe\u6ce2\u5668\u3002\u5b83\u7684\u57fa\u672c\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">y[n] = b0\u00b7x[n] + b1\u00b7x[n\u22121] + b2\u00b7x[n\u22122] \u2212 a1\u00b7y[n\u22121] \u2212 a2\u00b7y[n\u22122]<\/code><\/pre>\n\n\n\n<p>\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>x[n]<\/code> \u662f\u8f38\u5165\u8cc7\u6599<\/li>\n\n\n\n<li><code>y[n]<\/code> \u662f\u8f38\u51fa\u8cc7\u6599<\/li>\n\n\n\n<li><code>b0<\/code>, <code>b1<\/code>, <code>b2<\/code>, <code>a1<\/code>, <code>a2<\/code> \u662f\u6ffe\u6ce2\u5668\u4fc2\u6578<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u74b0\">\u958b\u767c\u74b0\u5883<\/h2>\n\n\n\n<p>\u5728\u958b\u59cb\u7de8\u7a0b\u4e4b\u524d\uff0c\u8acb\u78ba\u4fdd\u5df2\u5b8c\u6210\u4ee5\u4e0b\u6e96\u5099\u5de5\u4f5c\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/saludpcb.com\/zh\/esp32-tutorial-how-to-create-an-esp32-project-with-vscode\/\">\u5b89\u88dd ESP-IDF \u958b\u767c\u74b0\u5883<\/a> (\u81f3\u5c11\u7248\u672c v5.x \u6216\u66f4\u9ad8)\u3002<\/li>\n\n\n\n<li><a href=\"https:\/\/saludpcb.com\/zh\/esp32-devkit-module-pinout\/\">ESP32 \u958b\u767c\u677f<\/a>\u3002<\/li>\n\n\n\n<li><strong><a href=\"https:\/\/saludpcb.com\/zh\/pid-control-esp32-fourier-reveal\/\">\u5b89\u88dd ESP-DSP<\/a><\/strong> \u51fd\u5f0f\u5eab\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5c08\u6848\u7d50\u69cb\">\u5c08\u6848\u7d50\u69cb<\/h2>\n\n\n\n<p>\u9019\u662f ESP-IDF \u9810\u8a2d\u7684\u5c08\u6848\u7d50\u69cb\u4e4b\u4e00\u3002\u7576\u4f60\u4f7f\u7528 <code>idf.py create-project<\/code> \u6307\u4ee4\uff0c\u6216\u900f\u904e VS Code \u7684\u5b98\u65b9 ESP-IDF \u64f4\u5145\u5957\u4ef6\u5efa\u7acb\u65b0\u5c08\u6848\u6642\uff0c\u901a\u5e38\u6703\u770b\u5230\u9019\u6a23\u7684\u914d\u7f6e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">esp32-iir-filter\/\n\u251c\u2500\u2500 CMakeLists.txt\n\u251c\u2500\u2500 main\/\n\u2502   \u251c\u2500\u2500 CMakeLists.txt\n\u2502   \u2514\u2500\u2500 iir_filter_example.c\n\u2514\u2500\u2500 sdkconfig<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7a0b\u5f0f\u5be6\u4f5c\">\u7a0b\u5f0f\u5be6\u4f5c<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u7a0b\u5f0f\u78bc\u793a\u7bc4\u5982\u4f55\u4f7f\u7528<strong>\u4f4e\u901a\u6ffe\u6ce2\u5668\uff08Low-pass filter\uff09<\/strong>\u53bb\u9664\u611f\u6e2c\u5668\u8cc7\u6599\u4e2d\u7684\u9ad8\u983b\u96dc\u8a0a\uff0c\u4fdd\u7559\u7a69\u5b9a\u4e14\u7de9\u6162\u8b8a\u5316\u7684\u8a0a\u865f\u6210\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\" class=\"language-cpp\">#include &lt;stdio.h&gt;\n#include &lt;math.h&gt;\n#include \"esp_log.h\"          \/\/ ESP32 logging functions\n#include \"esp_dsp.h\"          \/\/ ESP32 DSP library main header\n#include \"dsps_biquad.h\"      \/\/ Biquad filter specific functions\n\n\/\/ Constants and configuration\n#define TAG \"IIR_FILTER_GEN\"  \/\/ Tag for ESP logging\n#define DATA_LEN 64           \/\/ Number of samples to process\n\n\/\/ Global buffers\nfloat input[DATA_LEN];        \/\/ Input signal buffer\nfloat output[DATA_LEN];       \/\/ Filtered output buffer\nfloat coeffs[5];              \/\/ Filter coefficients: [b0, b1, b2, a1, a2]\nfloat w[2];                   \/\/ Filter state variables (delay elements)\n\n\n\/* This implements the standard digital biquad filter design equations\n * for a low-pass filter. Coefficients are normalized and formatted\n *  specifically for ESP-DSP's biquad implementation.\n *\/\nvoid compute_lowpass_biquad(float fs, float fc, float Q, float *coeffs)\n{\n    \/\/ Calculate angular frequency\n    float w0 = 2.0f * M_PI * fc \/ fs;\n    \n    \/\/ Intermediate calculations\n    float alpha = sinf(w0) \/ (2.0f * Q);\n    float cos_w0 = cosf(w0);\n\n    \/\/ Calculate numerator coefficients (feedforward path)\n    float b0 = (1.0f - cos_w0) \/ 2.0f;\n    float b1 = 1.0f - cos_w0;\n    float b2 = b0;  \/\/ Symmetrical coefficients\n    \n    \/\/ Calculate denominator coefficients (feedback path)\n    float a0 = 1.0f + alpha;\n    float a1 = -2.0f * cos_w0;\n    float a2 = 1.0f - alpha;\n\n    \/\/ Normalize coefficients and format for ESP-DSP\n    \/\/ Note: ESP-DSP expects a1 and a2 to be negated\n    coeffs[0] = b0 \/ a0;  \/\/ b0\n    coeffs[1] = b1 \/ a0;  \/\/ b1\n    coeffs[2] = b2 \/ a0;  \/\/ b2\n    coeffs[3] = -a1 \/ a0; \/\/ a1 (negated)\n    coeffs[4] = -a2 \/ a0; \/\/ a2 (negated)\n}\n\nvoid app_main(void)\n{\n    ESP_LOGI(TAG, \"Initializing ESP-DSP IIR Biquad Filter Example\");\n\n    \/\/ Filter parameters\n    float fs = 1000.0f;  \/\/ Sampling rate (Hz)\n    float fc = 30.0f;    \/\/ Cutoff frequency (Hz)\n    float Q = 0.707f;    \/\/ Quality factor (Butterworth response)\n\n    \/\/ 1. Compute filter coefficients\n    compute_lowpass_biquad(fs, fc, Q, coeffs);\n\n    \/\/ Log the computed coefficients\n    ESP_LOGI(TAG, \"Generated Coefficients:\");\n    ESP_LOGI(TAG, \"b0 = %.4f\", coeffs[0]);\n    ESP_LOGI(TAG, \"b1 = %.4f\", coeffs[1]);\n    ESP_LOGI(TAG, \"b2 = %.4f\", coeffs[2]);\n    ESP_LOGI(TAG, \"a1 = %.4f\", coeffs[3]);\n    ESP_LOGI(TAG, \"a2 = %.4f\", coeffs[4]);\n\n    \/\/ 2. Initialize filter state variables\n    w[0] = 0;  \/\/ w[n-1]\n    w[1] = 0;  \/\/ w[n-2]\n\n    \/\/ 3. Generate test signal (sine wave + random noise)\n    for (int i = 0; i &lt; DATA_LEN; i++) {\n        \/\/ Fundamental signal component (50Hz sine wave)\n        float signal = 0.7f * sinf(2 * M_PI * i \/ 16.0f);\n        \n        \/\/ Add uniform random noise (-0.1 to 0.1)\n        float noise = 0.2f * ((float)rand() \/ RAND_MAX - 0.5f);\n        \n        input[i] = signal + noise;\n    }\n\n    \/\/ 4. Apply the biquad filter\n    \/\/ Parameters: input, output, length, coefficients, state variables\n    dsps_biquad_f32(input, output, DATA_LEN, coeffs, w);\n\n    \/\/ 5. Print input vs filtered results\n    ESP_LOGI(TAG, \"Index\\tInput\\t\\tFiltered\");\n    for (int i = 0; i &lt; DATA_LEN; i++) {\n        ESP_LOGI(TAG, \"%2d\\t% .4f\\t% .4f\", i, input[i], output[i]);\n    }\n}<\/code><\/pre>\n\n\n\n<p><strong>\u7a0b\u5f0f\u8aaa\u660e :<\/strong><\/p>\n\n\n\n<p>\u9019\u6bb5\u7a0b\u5f0f\u4f7f\u7528\u7684 <code>compute_lowpass_biquad()<\/code> \u51fd\u6578\u662f\u6839\u64da<strong>\u4e8c\u968e IIR\uff08Biquad\uff09\u4f4e\u901a\u6ffe\u6ce2\u5668<\/strong>\u7684\u516c\u5f0f\uff0c\u4f9d\u64da\u4e09\u500b\u53c3\u6578\u4f86\u8a08\u7b97\u6ffe\u6ce2\u5668\u4fc2\u6578\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>fs<\/code>\uff1a\u53d6\u6a23\u7387\uff08\u8cc7\u6599\u4e00\u79d2\u4f86\u5e7e\u7b46\uff09<\/li>\n\n\n\n<li><code>fc<\/code>\uff1a\u622a\u6b62\u983b\u7387\uff08\u8d85\u904e\u9019\u500b\u983b\u7387\u7684\u8a0a\u865f\u6703\u88ab\u6ffe\u6389\uff09<\/li>\n\n\n\n<li><code>Q<\/code>\uff1a\u54c1\u8cea\u56e0\u5b50\uff0c\u63a7\u5236\u901a\u5e36\u7684\u92b3\u5229\u7a0b\u5ea6\uff08\u9019\u88e1\u7528 0.707f \u662f\u6a19\u6e96\u8a2d\u5b9a\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u7522\u751f\u51fa\u4e00\u7d44 5 \u500b\u4fc2\u6578\uff08b0, b1, b2, -a1, -a2\uff09\u5f8c\uff0c\u518d\u900f\u904e ESP-DSP \u51fd\u5f0f <code>dsps_biquad_f32()<\/code> \u628a\u9019\u500b\u6ffe\u6ce2\u5668\u5957\u7528\u5230\u611f\u6e2c\u5668\u8cc7\u6599\u4e0a\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">Sine wave + random noise (amplitude 0.2)<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7de8\u8b6f\u548c\u71d2\u9304-1\">\u7de8\u8b6f\u548c\u71d2\u9304<\/h2>\n\n\n\n<p>\u5b8c\u6210\u7a0b\u5f0f\u78bc\u5f8c\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528 <a href=\"https:\/\/www.espressif.com\/en\/products\/sdks\/esp-idf\" target=\"_blank\" rel=\"noopener\">ESP-IDF<\/a> \u63d0\u4f9b\u7684\u547d\u4ee4\u9032\u884c\u7de8\u8b6f\u3001\u71d2\u9304\u548c\u76e3\u63a7\u3002<\/p>\n\n\n\n<p>\u5728 VS Code \u7684\u5de6\u4e0b\u89d2 ESP-IDF \u5de5\u5177\u5217\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9ede\u9078 <strong>Build project<\/strong><\/li>\n\n\n\n<li>\u9ede\u9078 <strong>Flash device<\/strong><\/li>\n\n\n\n<li>\u9ede\u9078 <strong>Monitor device<\/strong><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u8f38\u51fa\u8207\u6e2c\u8a66\u7d50\u679c\">\u8f38\u51fa\u8207\u6e2c\u8a66\u7d50\u679c<\/h2>\n\n\n\n<p>\u7a0b\u5f0f\u555f\u52d5\u5f8c\uff0c\u53ef\u4ee5\u5f9e ESP_Log \u67e5\u770b\u8f38\u51fa\u7d50\u679c :<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">I (123) IIR_FILTER_GEN: Initializing ESP-DSP IIR Biquad filter example\nI (124) IIR_FILTER_GEN: Generated coefficients:\nI (124) IIR_FILTER_GEN: b0 = 0.0201\nI (125) IIR_FILTER_GEN: b1 = 0.0402\nI (126) IIR_FILTER_GEN: b2 = 0.0201\nI (127) IIR_FILTER_GEN: -a1 = 1.5610\nI (128) IIR_FILTER_GEN: -a2 = -0.6414\nI (129) IIR_FILTER_GEN: Index\tInput\t\tFiltered\nI (130) IIR_FILTER_GEN:  0\t 0.0874\t 0.0018\nI (131) IIR_FILTER_GEN:  1\t 0.2612\t 0.0141\nI (132) IIR_FILTER_GEN:  2\t 0.4068\t 0.0437\nI (133) IIR_FILTER_GEN:  3\t 0.5795\t 0.0913\nI (134) IIR_FILTER_GEN:  4\t 0.7062\t 0.1564\nI (135) IIR_FILTER_GEN:  5\t 0.8289\t 0.2377\nI (136) IIR_FILTER_GEN:  6\t 0.9025\t 0.3302\nI (137) IIR_FILTER_GEN:  7\t 0.9450\t 0.4270\nI (138) IIR_FILTER_GEN:  8\t 0.9000\t 0.5193\nI (139) IIR_FILTER_GEN:  9\t 0.8192\t 0.5990<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7d50\u8ad6\">\u7d50\u8ad6<\/h2>\n\n\n\n<p>\u5728\u8655\u7406\u611f\u6e2c\u5668\u8cc7\u6599\u6642\uff0c\u96dc\u8a0a\u8207\u4e0d\u7a69\u5b9a\u8a0a\u865f\u5f80\u5f80\u6703\u5f71\u97ff\u7cfb\u7d71\u5224\u65b7\u8207\u63a7\u5236\u6e96\u78ba\u5ea6\u3002\u900f\u904e <strong>ESP-DSP<\/strong> \u5957\u4ef6\u63d0\u4f9b\u7684 <strong>IIR Biquad \u6ffe\u6ce2\u5668<\/strong>\uff0c\u6211\u5011\u53ef\u4ee5\u5728\u4e0d\u72a7\u7272\u57f7\u884c\u6548\u7387\u8207\u8cc7\u6e90\u7684\u60c5\u6cc1\u4e0b\uff0c\u5be6\u73fe\u5373\u6642\u3001\u7a69\u5b9a\u7684\u8a0a\u865f\u6e05\u7406\u3002\u9019\u4f7f\u5f97 ESP32 \u6210\u70ba\u7269\u806f\u7db2\u8207\u908a\u7de3\u904b\u7b97\u4e2d\uff0c\u540c\u6642\u517c\u9867\u6548\u80fd\u8207\u6210\u672c\u7684\u7406\u60f3\u5e73\u53f0\u3002<\/p>\n\n\n\n<p>ESP-DSP \u70ba ESP32 \u63d0\u4f9b\u4e86\u9ad8\u6548\u80fd\u7684\u6578\u4f4d\u4fe1\u865f\u8655\u7406 (DSP) \u80fd\u529b\uff0c\u7279\u5225\u9069\u5408\u7528\u65bc\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u611f\u6e2c\u5668\u8cc7\u6599\u6ffe\u6ce2<\/li>\n\n\n\n<li>\u97f3\u983b\u8655\u7406<\/li>\n\n\n\n<li>\u4fe1\u865f\u5206\u6790<\/li>\n\n\n\n<li>\u5373\u6642\u63a7\u5236\u7cfb\u7d71<\/li>\n<\/ul>\n\n\n\n<p>\u900f\u904e IIR Biquad \u6ffe\u6ce2\u5668\uff0c\u958b\u767c\u8005\u53ef\u4ee5\u6709\u6548\u5730\u53bb\u9664\u4fe1\u865f\u4e2d\u7684\u96dc\u8a0a\uff0c\u540c\u6642\u4fdd\u6301\u7cfb\u7d71\u7684\u5373\u6642\u6027\u548c\u4f4e\u8cc7\u6e90\u6d88\u8017\u3002\u9019\u4f7f\u5f97 ESP32 \u6210\u70ba\u7269\u806f\u7db2\u548c\u908a\u7de3\u8a08\u7b97\u61c9\u7528\u7684\u7406\u60f3\u9078\u64c7\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-text-color has-palette-color-1-color has-alpha-channel-opacity has-palette-color-1-background-color has-background is-style-wide\"\/>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ESP-DSP \u662f Espressif \u5b98\u65b9\u63a8\u51fa\u7684\u6578\u4f4d\u8a0a\u865f\u8655\u7406\u51fd\u5f0f\u5eab\uff0c\u5c08\u70ba ESP32 \u5e73\u53f0\u512a\u5316\uff0c\u80fd\u5354\u52a9\u958b\u767c\u8005 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3757,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,53,83],"tags":[27,21,44,9,11],"class_list":["post-3723","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-module","category-esp32","category-featured","tag-c","tag-ide","tag-programming-language","tag-python","tag-tutorial"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/posts\/3723","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/comments?post=3723"}],"version-history":[{"count":20,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/posts\/3723\/revisions"}],"predecessor-version":[{"id":3816,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/posts\/3723\/revisions\/3816"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/media\/3757"}],"wp:attachment":[{"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/media?parent=3723"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/categories?post=3723"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/saludpcb.com\/zh\/wp-json\/wp\/v2\/tags?post=3723"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}