Find dBV of One-Sided Fourier Coefficients for Rectangular Pulse Train

Click For Summary
SUMMARY

The discussion focuses on calculating the dBV of one-sided Fourier coefficients for a rectangular pulse train characterized by a peak-to-peak amplitude of 2V, a period of 1ms, and a pulse width of 0.5ms. The Fourier coefficients, denoted as cn, are to be determined for harmonics ranging from n = 0 to n = 12. The conversation highlights the assumption of zero rise and fall times, leading to the classic odd harmonic fall-off behavior in the Fourier series representation of the pulse train.

PREREQUISITES
  • Understanding of Fourier series and coefficients
  • Knowledge of dBV (decibel voltage) calculations
  • Familiarity with rectangular pulse train characteristics
  • Basic principles of signal processing
NEXT STEPS
  • Study the derivation of Fourier coefficients for rectangular waveforms
  • Learn how to calculate dBV from voltage values
  • Explore the implications of rise and fall times on Fourier analysis
  • Investigate the properties of odd harmonics in signal processing
USEFUL FOR

Electrical engineers, signal processing students, and anyone involved in analyzing or designing systems with rectangular pulse trains will benefit from this discussion.

david90
Messages
311
Reaction score
2
A rectangular pulse train with peak-to-peak amplitude A = 2V (peak amplitudes are +/- 1V), period T0 = 1ms, pulse width a = 0.5ms, dc offset zero volt.

How do you find the dBV of the one-sided Fourier coefficients cn for 0 ≤ n ≤ 12?

n refers to the harmonic #? Is the Fourier coefficient just the amplitude of the harmonic?
 
Engineering news on Phys.org
You need the rise and fall times as well. Are those given in the problem statement?
 
I guess if they are assuming zero rise and fall times, you get the classic odd harmonic fall-off, right? What is the equation for that?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
6K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
18K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K