EDN

The practicing instrumentation engineer’s guide to the DFT – Part 1: Understand DFT and FFT implementations

There are many books and articles on the Fourier Transform and its implementation available. A quick survey of these resources shows that they are not geared to the needs of the “Practicing ...
Design-Reuse

LTE Single Carrier DFT: Faster Circuits with Reduced FPGA LUT/Register Usage

Single carrier frequency division multiple access (SC-FDMA) is a part of the LTE protocol used for up-link data transmission. It involves a discrete Fourier transform (DFT) pre-coding of the ...
JSTOR Daily

Computational Complexity of Fourier Transforms Over Finite Fields

In this paper we describe a method for computing the Discrete Fourier Transform (DFT) of a sequence of $n$ elements over a finite field $\mathrm{GF}(p^m)$ with a ...
EDN

The practicing instrumentation engineer’s guide to the DFT – Part 2: Spectral leakage and windowing

What happens if we change the number of cycles of our input data to a non-integer number? With that in mind let's generate 10.5 cycles of sine wave data to use as the input to our DFT. Figure 5: For ...
JSTOR Daily

Asymptotic Properties of Discrete Fourier Transforms for Spatial Data

Sankhyā: The Indian Journal of Statistics, Series A (2008-), Vol. 71, No. 2 (August 2009), pp. 221-259 (39 pages) Asymptotic distribution of the Discrete Fourier Transformation (DFT) of spatial data ...
University of Bristol

Unit information: Digital Filters and Spectral Analysis (M) in 2020/21

This course provides students with an understanding of the theory, interpretation, design and application of DSP techniques. In particular the course covers the theory and practice of digital filters ...
mccormick.northwestern.edu

ELEC_ENG 222: Fundamentals of Signals and Systems

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...