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Computing an FFT of Complex-Valued Data Using a Real-Only FFT Algorithm

Someone recently asked me if I knew of a way to compute a fast Fourier transform (FFT) of complex-valued input samples using an FFT algorithm that accepts only real-valued input data. Knowing of no ...

posted by Rick Lyons on Feb 9 2010 under Tips and Tricks
Comments (3) |

Unit Testing for Embedded Algorithms

Happy Holidays! For my premier article, I am writing about my favorite technique to use when designing and developing software- unit testing. Unit testing is a best practice when designing software...

posted by Anthony Ricke on Dec 20 2009 under Basics | Tips and Tricks
Comments (0) |

Using Mason's Rule to Analyze DSP Networks

There have been times when I wanted to determine the z-domain transfer function of some discrete network, but my algebra skills failed me. Some time ago I learned Mason's Rule, which helped me sol...

posted by Rick Lyons on Aug 31 2009 under Tips and Tricks
Comments (3) |

The Nature of Circles

What do you mean? When calculating the mean of a list of numbers, the obvious approach is to sum them and divide by how many there are. Suppose I give you a list of two numbers: 0 359 What i...

posted by Peter Kootsookos on Feb 21 2009 under Academia / Research | Tips and Tricks
Comments (3) |

Simultaneously Computing a Forward FFT and an Inverse FFT Using a Single FFT

Most of us are familiar with the processes of using a single N-point complex FFT to: (1) perform a 2N-point FFT on real data, and (2) perform two independent N-point FFTs on real data [1–5]. I...

posted by Rick Lyons on Jan 13 2009 under Tips and Tricks
Comments (3) |

Multiplierless Exponential Averaging

This blog discusses an interesting approach to exponential averaging. To begin my story, a traditional exponential averager (also called a "leaky integrator"), shown in Figure 1(a), is commonly used...

posted by Rick Lyons on Dec 5 2008 under Tips and Tricks
Comments (1) |

Computing the Group Delay of a Filter

I just learned a new method (new to me at least) for computing the group delay of digital filters. In the event this process turns out to be interesting to my readers, this blog describes the method...

posted by Rick Lyons on Nov 19 2008 under Tips and Tricks
Comments (7) |

Computing Large DFTs Using Small FFTs

It is possible to compute N-point discrete Fourier transforms (DFTs) using radix-2 fast Fourier transforms (FFTs) whose sizes are less than N. For example, let's say the largest size FFT software ro...

posted by Rick Lyons on Jun 23 2008 under Tips and Tricks
Comments (10) |

Linear-phase DC Removal Filter

This blog describes several DC removal networks that might be of interest to the dsprelated.com readers. Back in August 2007 there was a thread on the comp.dsp newsgroup concerning the process of re...

posted by Rick Lyons on Mar 30 2008 under Tips and Tricks
Comments (18) |

Correlation without pre-whitening is often misleading

White Lies Correlation, as one of the first tools DSP users add to their tool box, can automate locating a known signal within a second (usually larger) signal. The expected result of a correlation i...

posted by Peter Kootsookos on Feb 18 2008 under Matlab | Basics | Tips and Tricks
Comments (3) |

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