# Questions tagged [chirp]

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### Radar SNR for a LFM Waveform

How do you estimate the detection SNR for a radar transmitting an LFM (chirp) waveform? I'm looking for an SNR equation that is a function of chirp bandwidth and compressed (or uncompressed) ...
1k views

### Problems Using FFT to Compute Impedance in a Model Neuron

I'm a neuroscientist currently investigating the resonance properties of a single neuron model that a colleague and I have constructed. The language we code in is Julia, which I hope is similar enough ...
640 views

### Confused with filtering linear chirp signal using band-pass filter

everyone. Recently, I am doing simulations about filtering a linearly chirp signal, and have been confused about the result. The signal was linearly chirped from 0 to 1000 Hz. At first, the chirping ...
377 views

### Doppler Shifting A Chirp Signal

So I have a digital linear chirp signal: $$x[n] = \sqrt{\frac{2}{N}} \cdot \cos\Big( 2 \pi \frac{f_{0}}{f_{s}}n + \pi \frac{B}{N} n^{2}\Big)$$ Where $f_{0}$ is the initial frequency, $f_{s}$ is ...
560 views

### Chirp signal FFT

I am doing some system identification using different signals such as single tone, multi tone, chirp and so on. These days I was trying to get an FFT of a chirp signal and I found a nice code here on ...
509 views

I've been working with an FMCW Fast Chirp radar transceiver. Mainly, I've been looking at the Doppler range map but really it is not suitable as there is only one point per range/ speed and I want to ...
234 views

### Exponential Chirp

I'm trying to replicate in python the exponential chirp (here) but I cannot understand well the t and T in the formulas; here is what I wrote, but it is surely wrong, please could you help me? ...
45 views

### chirp z-transform for different output sizes

I am attempting to use the chirp z-transform for an application that requires arbitrary FFT output sizes less than or equal to the length of the input signal. However, I've encountered an issue where ...
146 views

### Cross-correlation peaks in acoustic multi-path conditions

Consider a speaker and a microphone are placed in a multi-path environment and the audio signal to be transmitted is LFM(chirp) signal, the time of arrival of the audio signal is computed by cross-...
202 views

We know that we have the following equation for wave. $$g(t)=A\cos(\omega t+\theta_0)=A\cos(2\pi ft+\theta_0)$$ The equation of frequency with respect to time will be: $$f(t)=\frac{Bt}{\tau}+f_c-\... 1answer 61 views ### Phase of a signal with multi delayed windowed (rectangular window) signal with different amplitudes I have a signal x(t) which is composed of multi delayed linear chirps with different amplitudes and phases but they share the same w and \alpha, the signal can be expressed as follows:$$\...
144 views

I have generated 16 chirps in experimental study: and the signal was picked up by some electronic sensor, and then I have calculated the spectrum of the received signal: Following that I have ...
13 views

### FMCW Triangle Modulation

I am trying to generate FMCW with triangle waveform modulation in python. I was able to generate linear FMCW waveform. I am stuck at coming up with equation for triangle modulation for FMCW liDAR/...
57 views

### How to perform dechirping of SAR image in MATLAB?

I have the transmitted pulse and the raw SAR image before range compression (dechirping). I understand the pulse compression its a convolution along the columns but I am not able to make it work. I've ...
40 views

### Detect playback position in swept sine sweep

I am wondering what the most precise method is to detect the playback sample position of a sine sweep? The real playback sample position is unknown and an DSP with constraint computing capabilities ...
28 views

### Detecting multi-path propagation when one acoustic signal is dominant

I am sending an acoustic signal from a source to a receiver where there are limited number of paths the signal can travel. I want to detect if there has been multipath propagation or not when one path ...
132 views

### On generalizing Gabor-Heisenberg uncertainty in a noisy environment

The Gabor-Heisenberg uncertainty represents the fundamental limit of time and frequency resolution one can extract from a signal. $\sigma_t \sigma_f \geq \frac{1}{4\pi}$ My question is: what happen ...
Edit:" please see the attached figure. The blue part is all I have. Also, you can neglect the noise term. Assume the signal is deterministic. Typical values of the unknown parameters $\alpha$ and \$\...