How to find frequency shift in time-varying signal?

I am currently trying to plot the Doppler shift of a satellite as it orbits overhead using its downlink signal. My problem is this: I've seen that a continuous signal can be analyzed with pwelch(), but is there a way to "step" through the signal, estimating portions of the signal that would output an (hopefully) s-curve?

Above is 11 seconds of the NOAA-15

Above shows zoom

Getting tighter on the "chunks" above

I hope these images help. From what I understand, The frequency at t=0 should be higher than the transmitted frequency, then after the point of closest approach, the frequency will fall below the transmitted frequency (i.e., Doppler shift).

Any help/advice would be greatly appreciated.

Answer 1

[Star Strider]

See if the spectrogram (link) function will do what you want.

Experiment with it with your signal to get the result you want.

Answer 2

[Sk Group]

Frequency Shifting Property in MATLAB Complete Prove (Code + Output)

Frequency shifting Prove: DFT{x(n)e^(j(2*pi/N)nl = X(K-l)

For detailed post and complete code visit: https://www.swebllc.com/frequency-shifting-property-in-matlab- complete-prove-code-output/