Circuit to retain only the positive frequency components in a signal?

Click For Summary
SUMMARY

The forum discussion centers on methods to retain only the positive frequency components of a signal, specifically addressing the redundancy of negative frequencies in the frequency domain. Participants highlight that negative frequencies are a mathematical construct without physical significance, particularly when using Fourier Transform techniques. A bandpass filter can allow positive frequencies to pass while blocking negative frequencies, but this requires mixing with a carrier frequency. The conversation also touches on the implications of eliminating negative frequencies and the potential for single sideband (SSB) modulation techniques.

PREREQUISITES
  • Understanding of Fourier Transform and its implications in signal processing
  • Knowledge of bandpass filter design and operation
  • Familiarity with single sideband (SSB) modulation techniques
  • Basic concepts of signal representation in the frequency domain
NEXT STEPS
  • Research the design and implementation of bandpass filters for signal processing
  • Explore single sideband (SSB) modulation techniques and their applications
  • Learn about the mathematical foundations of Fourier Transform and its practical applications
  • Investigate the implications of negative frequencies in communication systems
USEFUL FOR

Signal processing engineers, communication system designers, and anyone interested in advanced modulation techniques and frequency domain analysis.

  • #31
chroot said:
sanjaysan, the negative frequency components are redundant, in a sense. Consider your time domain signal, cos(2\pi \omega t). The angular frequency, \omega, could be either positive or negative, and the resulting wave would look the same in the time domain. That ambiguity leads to the two-sided, symmetric spectrum.

You can move to a one-sided spectrum if you wish, with no loss of generality, but that's just a mathematical trick. You don't need to design any real, physical device to discard the negative frequencies; they're all in your head from the beginning!

- Warren

Then how do you explain the recovery of baseband signal from single sided passband signal. Suppose we have only upper sideband of a signal then in recovery of message signal the mirrored band of the signal contributes to form the spectrum of the message signal. What do you think happens physically here...
 
Engineering news on Phys.org
  • #32
Look at the block diagram of an ssb receiver. A local oscillator at the original carrier frequency will mix with the sideband and produce a baseband signal - and other mixing products, of course but they will be at non-baseband frequencies and their power level is not relevant.

If you're concerned about the SNR of the demodulated signal then it would be 3dB lower than when both sidebands are demodulated because the noise bandwidth would be half but the demodulated signal would be half the level - giving 3dB net loss. BUT there was 3dB less power transmitted for a start so there would is overall disadvantage (as long as the transmitter can be made efficient.

It is important to get the Maths and the Physical World reconciled properly. Like I said earlier. All the answers to the calculations should start off with "The real part of".
 

Similar threads

Replies
8
Views
2K
  • · Replies 48 ·
2
Replies
48
Views
4K
Replies
17
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
4K
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
737
  • · Replies 40 ·
2
Replies
40
Views
6K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K