New to the forums need some help with signal analysis

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Discussion Overview

The discussion revolves around signal analysis, specifically focusing on beginner resources, homework problems related to signal processing, and concepts involving convolution and random variables. The scope includes theoretical understanding and practical applications in digital signal processing (DSP).

Discussion Character

  • Homework-related
  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about studying for a signal analysis class and seeks beginner-friendly resources.
  • The same participant presents a homework problem involving the determination of a formula for x(t) as a sum of complex exponentials, the fundamental period of x(t), and plotting its spectrum.
  • Another participant shares links to resources for digital signal processing, suggesting they may be helpful for understanding the material.
  • A later post questions whether the convolution of a cosine random variable function with a noise signal results in a Gaussian function, indicating uncertainty about the outcome of such a convolution.

Areas of Agreement / Disagreement

Participants generally agree on the need for accessible resources for beginners in signal analysis. However, there is no consensus on the specific outcomes of the convolution question, as it remains unresolved.

Contextual Notes

The initial participant's attempts at solving the homework problem involve complex expansions, but there is no indication of whether these methods are correct or if simpler approaches exist. The convolution question also lacks clarity on the conditions under which the result may be Gaussian.

Who May Find This Useful

Students new to signal analysis, educators seeking resources for teaching DSP, and individuals interested in the theoretical aspects of convolution in signal processing.

stefan1988
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Im taking This class EEL3135 and I am very lost and confused as to how to study or where to find resources to understand the material.

does anybody know of a good website for beginner signal analysis? or a good reference ebook etc to help me out with it? the ones i seen are far too advanced and complicated for the stuff we doing.


Homework Statement


here is the problem I am looking at.
a.Determine a formula for x(t) as the real part of a sum of complex exponentials.
b.what is the fundamental period for x(t)
c.plot the spectrum for x(t)
X(T)=sin^3(27PI t)


Homework Equations


euler inverse cosθ=(e^θ+e^θ)/(2) i don't really understand why we use this formula

The Attempt at a Solution



i started for first expansion i got
(-e^54pit)/4 +0.5+(e^-54pit)/4

after third expansion i got
(-e^81pit)/(8j)+(3e^27pit/8j)+(-3e^27pit)/(8j)+ (-e^81pit/8j)

is there an easier way to do this than big expansion?
 
Physics news on Phys.org
sorry for the late reply. thanks for the links =D
 
when a cosine random variable function and a noise signal are convolved the result is a random variable..but will it be a guassian function
 

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