Fourier Transform-Related Operations

Fourier Transform-Related Operations

For access to this article, please select a purchase option:

Buy chapter PDF
(plus tax if applicable)
Buy Knowledge Pack
10 chapters for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
Digital Techniques for Wideband Receivers — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

In this chapter, the operations discussed will be related to the Fourier transform and especially to the discrete Fourier transform (DFT) or fast Fourier transform (FFT). Some of these operations are useful to receiver design and some of these techniques can improve the results of the FFT. The discussion includes zero padding, better localization of FFT peaks, digital convolution, parallel FFT operations to increase overall speed, performing real FFT by using complex FFT operations, and a phase sampling scheme to increase the bandwidth of the receiver.

Chapter Contents:

  • 5.1 Introduction
  • 5.2 Zero Padding
  • 5.3 Periodic and Linear Convolutions
  • 5.4 Peak Position Estimation for Rectangular Window
  • 5.5 Peak Position Estimation for Hanning Window
  • 5.6 Peak Position Estimation Through Iteration
  • 5.7 Actual Frequency Determination by Fast Fourier Transform
  • 5.8 Real Input Computed by a Complex FFT Operator
  • 5.9 Autocorrelation
  • 5.10 Autocorrelation (Blackman-Tukey) Spectrum Estimation
  • 5.11 Application of FFT to Spectrum Estimation From Autocorrelation Function
  • 5.12 Basic Idea of Sub-Nyquist Sampling Scheme
  • 5.13 Phase Relation in a Sub-Nyquist Sampling System
  • 5.14 Problems and Potential Solutions of Sub-Nyquist Sampling Scheme
  • 5.15 Discrete Fourier Transform Through Decimation
  • 5.16 Applications of Decimation Method to EW Receivers
  • 5.17 Simplified Decimation Method
  • References

Inspec keywords: discrete Fourier transforms; convolution; signal sampling; fast Fourier transforms

Other keywords: parallel FFT operations; digital convolution; zero padding; receiver design; discrete Fourier transform; DFT; complex FFT operations; receiver; fast Fourier transform; phase sampling scheme

Subjects: Signal processing theory; Integral transforms; Signal processing and detection; Integral transforms

Preview this chapter:
Zoom in

Fourier Transform-Related Operations, Page 1 of 2

| /docserver/preview/fulltext/books/ra/sbra005e/SBRA005E_ch5-1.gif /docserver/preview/fulltext/books/ra/sbra005e/SBRA005E_ch5-2.gif

Related content

This is a required field
Please enter a valid email address