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A Stable Goertzel Algorithm
This blog presents a guaranteed-stable Goertzel algorithm. To appreciate what the phrase "guaranteed-stable" means, let's review a few characteristics of the traditional Goertzel algorithm. Goertze...
posted by Rick Lyons on Jun 7 2010 under Tips and Tricks Comments (2) |
Computing FFT Twiddle Factors
Some days ago I read a post on the comp.dsp newsgroup and, if I understood the poster's words, it seemed that the poster would benefit from knowing how to compute the twiddle factors of a radix-2 fa...
posted by Rick Lyons on Aug 7 2010 under Tips and Tricks Comments (0) |
Improved Narrowband Lowpass IIR Filters
Here's a neat IIR filter trick. It's excerpted from the "DSP Tricks" chapter of the new 3rd edition of my book "Understanding Digital Signal Processing". Perhaps this trick will be of some value to ...
posted by Rick Lyons on Nov 6 2010 under Tips and Tricks Comments (1) |
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 (5) |
Least-squares magic bullets? The Moore-Penrose Pseudoinverse
Hello, the topic of this brief article is a tool that can be applied to a variety of problems: The Moore-Penrose Pseudoinverse.While maybe not exactly a magic bullet, it gives us least-squares optima... 
posted by Markus Nentwig on Oct 24 2010 under Matlab | Basics | Tips and Tricks Comments (5) |
Multiplying Two Binary Numbers
I just encountered what I think is an interesting technique for multiplying two integer numbers. Perhaps some of the readers here will also find it interesting. Here's the technique: assume we want...
posted by Rick Lyons on Mar 16 2011 under Tips and Tricks Comments (6) |
Handling Spectral Inversion in Baseband Processing
The problem of "spectral inversion" comes up fairly frequently in the context of signal processing for communication systems. In short, "spectral inversion" is the reversal of the ... 
posted by Eric Jacobsen on Feb 11 2008 under Tips and Tricks | Wireless | Communication Comments (2) |
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 (2) |
"Neat" Rectangular to Polar Conversion Algorithm
The subject of finding algorithms that estimate the magnitude of a complex number, without having to perform one of those pesky square root operations, has been discussed many times in the past on t...
posted by Rick Lyons on Nov 15 2010 under Tips and Tricks Comments (5) |
A Differentiator With a Difference
Some time ago I was studying various digital differentiating networks, i.e., networks that approximate the process of taking the derivative of a discrete time-domain sequence. By "studying" ...
posted by Rick Lyons on Nov 3 2007 under Tips and Tricks Comments (1) |