How to Calculate Frequency and Impulse Response?

Click For Summary
SUMMARY

The discussion centers on calculating the frequency response and impulse response of a discrete system using Fourier transforms. The frequency response is defined by the formula H(f) = y(f)/x(f), where y(f) is the Fourier transform of the output y(t) and x(f) is the Fourier transform of the input x(t). To derive the impulse response from the frequency response, one must take the inverse Fourier transform of H(f). This process clarifies the relationship between the frequency domain and time domain representations of the system.

PREREQUISITES
  • Understanding of Fourier Transform and its applications
  • Knowledge of discrete systems and their properties
  • Familiarity with convolution operations in signal processing
  • Basic grasp of frequency response and impulse response concepts
NEXT STEPS
  • Study the properties of the Fourier Transform in signal processing
  • Learn about convolution and its role in determining system outputs
  • Explore the inverse Fourier Transform and its applications
  • Investigate practical examples of calculating frequency and impulse responses
USEFUL FOR

Students and professionals in electrical engineering, signal processing, and control systems who are looking to deepen their understanding of frequency and impulse response calculations.

TheTopGun
Messages
16
Reaction score
0
Hi, I have a discrete system with input x(t) and output y(t).

Using the formula frequency response H(f) = y(f)/x(f) in the Fourier domain.

Does this mean to find the frequency response I have to take the Fourier Transform of

y(t) to get y(f) and divide it by the Fourier transform of x(t) , x(f) ?also, for the impulse response: input convolved with impulse response = output.

How do I go about calculating the impulse response given I know the input, output and frequency response.

Just looking for some clarification and guidance before I dive into this assignment.

Thanks.
 
Last edited:
Physics news on Phys.org
Think I got it...I can go from the freq response to impulse response by taking the inverse Fourier transform of the freq response.
 

Similar threads

Undergrad The Relationship Between Angular and Cyclic Frequency in Fourier Transform
  • · Replies 2 ·
Replies
2
Views
2K
Output as the convolution of the Impulse response and input
  • · Replies 5 ·
Replies
5
Views
5K
Frequency Response Problem for given system
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Solve Convolution Systems: Integrate Impulse Response & Input
  • · Replies 3 ·
Replies
3
Views
1K
Engineering Signal and Systems: Verify the impulse response of this system
  • · Replies 2 ·
Replies
2
Views
2K
Given unit impulse response, obtain differential equation
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Calculation of Fourier Transform Derivative d/dw (F{x(t)})=d/dw(X(w))
  • · Replies 3 ·
Replies
3
Views
11K
Trying to intuit the unit impulse response
  • · Replies 6 ·
Replies
6
Views
2K
Engineering Half-power cut-off frequency and frequency and phase response.
  • · Replies 15 ·
Replies
15
Views
2K
Engineering Impulse Response of an RLC Circuit
  • · Replies 17 ·
Replies
17
Views
6K