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The Fourier transform is a mathematical operation that decomposes a function into its constituent frequencies, known as a frequency spectrum.

3 votes
3 answers
921 views

Why is the last value of an RFFT always real?

I am using numpy to do FFTs of real-valued data. And I don't understand why the Nyquist frequency is always real (or has zero phase). So, say A = rfft(data) then A[-1] is always a real value, and not …
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3 votes
2 answers
1k views

How do I convert a timeseries to a different frequency band?

I have a real time series sampled at 32 MHz. So, when I channelized it and plot it against time, I get a Frequency vs. Time image plot where the frequency domain spans 16 MHz. To elaborate, this basic …
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  • 351
3 votes
1 answer
894 views

How does a Hermitian FFT work in Numpy?

Say, I create a Hermitian complex signal using, import numpy as np t = np.arange(-4, 4) z = np.exp(1j * t) Here z should be a complex signal with Hermitian Symmetry, as you can see below. In [2]: …
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  • 351
5 votes
1 answer
3k views

How do I convert a real baseband signal to a complex baseband signal?

I have radio telescope observations that have resulted in two real-valued signals (corresponding to the right- and left-handed circular polarizations). The signals are sampled at rate $2B$, and provi …
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  • 351