Howtosignalprocessing
- Are Dirichlet conditions necessary or sufficient?
- What are Dirichlet conditions required for?
- Which statement is are true for Dirichlet's conditions *?
- Which of the following conditions are part of Dirichlet's conditions?
Are Dirichlet conditions necessary or sufficient?
I read in my text book that the Dirichlet conditions are sufficient conditions for a real-valued, periodic function f(x) to be equal to the sum of its Fourier series at each point where f is continuous. However, it further stated that although the conditions are sufficient but they are NOT necessary.
What are Dirichlet conditions required for?
In order for a function to be expanded properly, it must satisfy the following Dirichlet conditions: A piecewise function must be periodic with at most a finite number of discontinuities, and/or a finite number of minima or maxima within one period. In addition, the integral of must converge.
Which statement is are true for Dirichlet's conditions *?
Explanation: In the case of Dirichlet's conditions, the first property leads to the integration of signal. It states that over any period, signal x(t) must be integrable. That is ∫|x(t)|dt<∞.
Which of the following conditions are part of Dirichlet's conditions?
Detailed Solution. Dirichlet Conditions in Fourier Transformation are as follows: f(x) must absolutely integrable over a period, i.e., ∫ − ∞ ∞ f(x) must have a finite number of extrema in any given interval, i.e. there must be a finite number of maxima and minima in the interval.
