|
|
|
@ -42,25 +42,14 @@ SOFTWARE. |
|
|
|
|
* to pass all frequencies up to, at least 2800 Hz. |
|
|
|
|
*/ |
|
|
|
|
|
|
|
|
|
// Following are used inside extract_power()
|
|
|
|
|
float32_t fft_buffer[2048]; |
|
|
|
|
float fftOutput[2048]; |
|
|
|
|
float window[2048]; // Change to 1024 by symmetry <<<<<<<<<<<<<<<<<<<
|
|
|
|
|
float32_t window[1024]; // Holds half of symmetrical curve
|
|
|
|
|
arm_rfft_fast_instance_f32 Sfft; |
|
|
|
|
|
|
|
|
|
float32_t powerSum = 0.0f; // Use these for snr estimate
|
|
|
|
|
float32_t runningSum = 0.0f; |
|
|
|
|
float32_t powerMax = 0.0f; |
|
|
|
|
float32_t runningMax = 0.0f; |
|
|
|
|
float32_t noiseBuffer[8]; // Circular storage
|
|
|
|
|
uint16_t noiseBufferWrite = 0; // Array index
|
|
|
|
|
bool noiseMeasured = false; // <<<<<<GLOBAL
|
|
|
|
|
uint8_t noisePower8 = 0; // half dB per noise estimate GLOBAL
|
|
|
|
|
|
|
|
|
|
void init_DSP(void) { |
|
|
|
|
arm_rfft_fast_init_f32(&Sfft, 2048); |
|
|
|
|
for (int i = 0; i < FFT_SIZE; ++i) |
|
|
|
|
window[i] = ft_blackman_i(i, FFT_SIZE); |
|
|
|
|
// The window is symmetric, so create half of it
|
|
|
|
|
for (int i = 0; i < 1024; ++i) |
|
|
|
|
window[i] = ft_blackman_i(i, 2048); |
|
|
|
|
offset_step = 1472; // (int) HIGH_FREQ_INDEX*4;
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
@ -78,25 +67,60 @@ float ft_blackman_i(int i, int N) { |
|
|
|
|
|
|
|
|
|
// Compute FFT magnitudes (log power) for each timeslot in the signal
|
|
|
|
|
void extract_power( int offset) { |
|
|
|
|
float32_t fft_buffer[2048]; |
|
|
|
|
float32_t fftOutput[2048]; |
|
|
|
|
float32_t powerSum = 0.0f; // Use these for snr estimate
|
|
|
|
|
float32_t runningSum = 0.0f; |
|
|
|
|
float32_t powerMax = 0.0f; |
|
|
|
|
float32_t runningMax = 0.0f; |
|
|
|
|
float32_t noiseBuffer[8]; // Circular storage
|
|
|
|
|
uint16_t noiseBufferWrite = 0; // Array index
|
|
|
|
|
uint8_t noisePower8 = 0; // half dB per noise estimate GLOBAL
|
|
|
|
|
|
|
|
|
|
float32_t y[8]; |
|
|
|
|
float32_t noiseCoeff[3]; |
|
|
|
|
|
|
|
|
|
/* Format of export_fft_power[] array:
|
|
|
|
|
368 bytes of power for even time for 0.32 sec sample DESCRIBE BETTER <<<<<<<<<<<<<<<<<<<<<< |
|
|
|
|
368 bytes of power for odd time for 0.32 sec sample |
|
|
|
|
... |
|
|
|
|
Repeated about 14.7/(0.08 sec) = 184 times. (Transmitted message length is 12.96 sec) |
|
|
|
|
Total bytes 4 * 368 * 92 = 135424 |
|
|
|
|
|
|
|
|
|
The power byte is log encoded with a half dB MSB. This can handle a |
|
|
|
|
dynamic range of 256/2 = 128 dB. |
|
|
|
|
*/ |
|
|
|
|
/* The FFT's are arranged to have overlap in both time and frequency.
|
|
|
|
|
* This allows good decoding sensitivity. It remains difficult to decode a weak |
|
|
|
|
* signal that is close in frequency to a strong one. It also causes multiple |
|
|
|
|
* combinations of time and frequency to show the same signal. |
|
|
|
|
*
|
|
|
|
|
* The 2048 point real FFT yields 1024 power outputs, corresponding to 0 to 3200 Hz. |
|
|
|
|
* Only the frequencies up to 2300 Hz are inspected in this implementation. That |
|
|
|
|
* corresponds with outputs 0 to 736. The windowing of the FFT results in frequency |
|
|
|
|
* resolution that is close to double the bin spacing. So, the power data is grouped |
|
|
|
|
* up in 736/2=368 power data points. It is done twice, using every other bins. |
|
|
|
|
* Format of export_fft_power[] array: |
|
|
|
|
* 368 bytes of power for even frequencies, 0, 2, 4, ... 366 |
|
|
|
|
* 368 bytes of power for odd frequencies, 1, 3, 5, ... 367 |
|
|
|
|
* Repeated 14.72/(0.08 sec) = 184 times. |
|
|
|
|
* The transmitted message length is 12.96 sec so the difference allows timing errors |
|
|
|
|
* along with the decoding allowing missing symbols. |
|
|
|
|
* Total bytes saved for decoding is 2 * 368 * 194 = 135424 for the 14.72 seconds. |
|
|
|
|
* |
|
|
|
|
* The power byte is log encoded with a half dB MSB. This can handle a |
|
|
|
|
* dynamic range of 256/2 = 128 dB. |
|
|
|
|
*/ |
|
|
|
|
|
|
|
|
|
for(int i=0; i<2048; i++) |
|
|
|
|
// TODO: It would seem easy to offset the frequencies being examined and, without
|
|
|
|
|
// increasing the data burden, make the range more productive. For instance, move the
|
|
|
|
|
// 0 to 2300 up to 300 to 2600 Hz. Needs investigation.
|
|
|
|
|
|
|
|
|
|
// TODO: The 135424 byte array is using more than a fourth of Teensy 4.x main RAM1.
|
|
|
|
|
// Might the array be put in RAM2 (and perhaps enlarged somewhat) and re-arranged
|
|
|
|
|
// in frequency order. This would allow transfers to RAM1 in, say, 300 Hz overlapping
|
|
|
|
|
// segments. This might be 300 to 600 Hz, 500 to 800, 700 to 1000 and so forth. That
|
|
|
|
|
// would cut way back on RAM 1 array size. Problems with this, except complexity??
|
|
|
|
|
|
|
|
|
|
// Note: The RadioFT8Demodulator provides at least 2.7 milliseconds, after data is
|
|
|
|
|
// available, before pData2K is written over. This needs to be thought of in the design
|
|
|
|
|
// of the loop() in the main INO. Long delays are trouble. The following transfer
|
|
|
|
|
// of data to fft_buffer is very fast. After that, pData2K[] is available.
|
|
|
|
|
for(int i=0; i<1024; i++) |
|
|
|
|
{ |
|
|
|
|
fft_buffer[i] = window[i]*pData2K[i]; // Protect pData2K from in-place FFT (17 uSec)
|
|
|
|
|
fft_buffer[2047 - i] = window[i]*pData2K[2047 - i]; // Symmetrical window
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
// (float32_t* pIn, float32_t* pOut, uint8_t ifftFlag)
|
|
|
|
|
arm_rfft_fast_f32(&Sfft, fft_buffer, fftOutput, 0); |
|
|
|
|
arm_cmplx_mag_squared_f32(fftOutput, fftOutput, 1024); |
|
|
|
|