Questions tagged [periodic]

166 questions
7
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Is $x(t) = \cos t + \sin\left(\frac{1}{2}t\right)$ a periodic signal?

Is $x(t) = \cos t + \sin\left(\frac{1}{2}t\right)$ a periodic signal? The answer provided by the book is different from my answer. Book says its not a periodic signal. Can you guys tell me why is it not a periodic signal? My answer: $\cos(t)$ is…
3
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2 answers

periodicity coefficient

I wonder if an efficient method exist to compute how much a signal is periodic, it should be ~1.0 when the signal is totally periodic (like a sinusoïdal signal) and ~0.0 when totally random, like a white noise. Edit : This question came with a big…
snoob dogg
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2
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Periodic signal checking when using $\Sigma$

Is the following signal periodic? $$ \sum_{κ=-\infty}^{\infty}\left[\mathrm{rect}\left(\frac{t+2κ}{10}\right)\right]+\cos\left(\frac{π}{75}t\right) $$ where rect is the rectangular signal
user33117
1
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0 answers

What would be the fundamental period of this discrete-time signal?

Question: $x[n]= 3\cos(0.3\pi n + 0.1) - \sin(0.11\pi n -\frac{\pi}{3})$ Find the fundamental period for this discrete signal. My attempt: Write the two functions as: $$\underbrace {3\cos\left(\frac{3}{10}\pi n + 0.1\right)}_{=f(n)} -…
user64710
0
votes
2 answers

The utility electric power signal is periodic or not?

The utility electric power signal is periodic or not? Our nationalgrid frequency is 50 hz and in some other places in world, it is 60 hz If I observe this signal on oscilloscope, will I get an exact repeating pattern ??
DSP_CS
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Periodicity of $\cos(2n + \theta)$

I have to calculate periodicity of e^j(2n + π/4) If cos2n is Aperiodic then what is the periodicity of cos(2n + π/4) ? Please explain in steps for beginner!
0
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1 answer

Finding the fundamental period by using four elementary operations (+,-,x,/)

The idea is to find the fundamental period of any periodic and bounded signal. This is all that we know about the signal. Nothing else. Only allowed operations are: $+,-,\times , \div$. We can also access any value of the signal that we desire. How…
Shkodrani
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Is sum of period samples in the DSP domain?

Following program outputs sum of samples of signal's period. Values in program are: Sample rate 96 ksamples/sec. First frequency (fundamental, 1st harmonic) 96 Hz. Second frequency (2nd harmonic) 192 Hz. n = 1 to 1000, representing one (the first)…