Questions tagged [cosine]
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60 questions
1 vote
1 answer
74 views
One frequency is absent from fourier transform representation of the addition of two cosine wave of same amplitude and phase
I have wrote a general python code in Sage-math to find out the Fourier transform of the addition of two different frequency cosine wave in order to plot the frequency domain in a graph. The function :...
- 111
0 votes
1 answer
75 views
Pure sine wave function with tunnable valley peak ratio
I couldn't find any on internet for sine-wave similar like PWM in square wave. Where I can tune the sine-wave valley-peak ratio. Where 100% ratio means 100% peak (or 0% valley), the graphic will ...
1 vote
1 answer
60 views
what will be the expression of this shifted cosine signal
My solution is $y(t) = \cos(\omega t) + \frac{1}{2}$ giving it a shift of $\frac{1}{2}$ But I'm a bit skeptic about it, should there be any coefficient of cos to this modification?
- 13
2 votes
1 answer
319 views
Why is there a difference in the phase when using fft versus a manual DFT on a cosine signal?
Apologies if this is a duplicate, but I can't find a good answer anywhere. If I have a time-domain cosine signal of the form: $$x(t) = A\mathrm{cos}(\omega_0 t)$$ Then this will result in an Fourier ...
- 306
3 votes
1 answer
148 views
Error in complex signal with imperfect quadrature phase and amplitude (textbook question)
I am working on the following problem: I have a solution that I am pretty confident is correct as have checked the output in python. However, it is long and the entire time I was answering the ...
- 245
2 votes
2 answers
137 views
An new arranging of the discrete Sine transforms
Let $n$ be even and consider the non-normalized discrete Sine transform of type 5 which is $$S=\left(\sin(k+1)(l+1)\frac{\pi}{n+\frac12}\right)_{k,l=0}^{n-1}$$ Let us denote $s_{-,l}$ by the $l^{th}$...
- 439
3 votes
1 answer
2k views
Envelope detection using hilbert transform
I have a sine wave of frequency 1kHz sampled at 16kHz. I need to find the envelope of this signal using hilbert transform in MATLAB.I have used the inbuilt function abs(hilbert(input_signal)) and got ...
- 325
1 vote
1 answer
262 views
Integration of Sinusoidal functions
Since Differentiation of a sinusoidal function of a certain angular frequency gives a sinusoidal function of the same frequency, does the statement "Integration of a sinusoidal function of ...
