Detlef Amberg (@Detlef _A)
Fitting a Damped Sine Wave
A damped sine wave is described by
$$ x_{(k)} = A \cdot e^{\alpha \cdot k} \cdot cos(\omega \cdot k + p)\tag{1}$$
with frequency $\omega$ , phase p , initial amplitude A and damping constant $\alpha$ . The $x_{(k)}$ are the samples of the function at equally spaced points in time.
With $x_{(k)}$ given, one often has to find the unknown parameters of the function. This can be achieved for instance with nonlinear approximation or with DFT – methods.
I present a method to find the...
THX, yes, the whole plan, ( narrow bandpass, than PLL) is a misconcept. The noise mitigation has to be a part of the PLL. And yes, I want to multiply (mix) incoming...
Hi, I want to PLL on the line voltage, here in Europe 50Hz. I have a noisy signal and i use a prefilter with a complex pole pair at 0.999*exp(+/- j*2*pi*50/10000)....
Very interesting question. You sample a bandwidth limited signal with
respect to Nyquist and you have two samples, x(k) and x(k+1). What is a
lower boundary for...
Hi,your 'for' loop gets much shorter with these two linesff1 = (exp(j*2*pi*[frb -frb]/Fs));fff = poly(ff1);But that does not bring you out of the numeric troubles...
Hi,IFFT of a spectrum with the 'upper' half of the frequencies zeroed out results in a complex time signal, called 'analytic' signal with 90° phase offset between...
Hi,the standard approach to FSK demodulation: square the samples, so you get a carrier at the symbol frequency. You track this carrier with a PLL and downmix the...
In a DSL szenario with many carriers and high PAPR you just let the amplifier clip, which results in error bursts. These errors are spread over time with the descrambler...
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