# Questions tagged [complex]

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### 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 ...
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### Complex IIR to Real IIR

I have created an IIR design algorithm that generates complex coefficients (there is no symmetry in the poles and zeros). However, the IIRs will be used to filter a real signal. Is there a closed form ...
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### On the meaning of s-plane and it's link to a transfer function

Considering Fourier analysis and let's say I'm walking on the blue frequency axis in the below 3D plot from zero towards infinity: So each time I encounter a non zero blue bar, I check the frequency ...
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### Bandwidth with complex sampling

On the transmit side, I have a 20 MHz carrier frequency carrying a signal with bandwidth of 40 MHz (so 0 Hz to 40 MHz, center at 20 MHz). On the receive side, I have a dual channel ADC with each ...
596 views

### Compression algorithms specific to complex signals

I am looking for (lossy or lossless) compression algorithms dedicated to complex signals. The latter could be composite data (like the left and right for stereo audio), a Fourier transformation, an ...
2k views

Could someone please break down what's going on in this equation for me? I understand what the left side looks like, but not so much how the right side is the same thing. Impulse train: $$\sum_{m=-\... 1answer 2k views ### What would be the variance for complex number? When x is a zero mean random variable then$$\sum_{n=1}^N x_n x_n^T = N \sigma^2_x\,\text,$$where the variance is \sigma^2_x. I'm considering Complex Normal Distributions where the real and ... 1answer 699 views ### Confusion regarding pdf of circularly symmetric complex gaussian rv Considering a random variable x that takes in values from a complex domain. Its real and imaginary components are totally uncorrelated. I am following this link and also studying this document. In ... 0answers 28 views ### Using complex number in non-negative matrix factorization (NMF) for signal source separation In short, I wonder which kind of spectrum can be modeled using complex number in NMF. And could an imaginary part possibly be a vector? For detail, inspired by audio processing paper that used ... 0answers 27 views ### Angular velocity of discrete time exponentials, increasing and then decreasing over 0 to 2 pi [duplicate] So, the differences between:$$ x(t) = e^{j(\omega_{0} t) } \,\,\,\,\, \textbf{Vs.} \,\,\,\,\, x[n] = e^{j(\omega_{0}n)}  Are: For $x(t)$ the $\omega_{0} \to \infty$ means the oscillation rate ...
This question is based on the application of the pdf which was an earlier question of mine asked here Confusion regarding pdf of circularly symmetric complex gaussian rv If $v \sim CN(0,2\sigma^2_v)$ ...