Figure 1a shows a block diagram of an interpolator, which consists of an up-sampler that increases the sample rate of the input...]]>

A half-band filter is a type of lowpass, even-symmetric FIR filter having an odd...]]>

As we’ll learn, a Hilbert Transformer is just a...]]>

The reader of this book should already be familiar with...]]>

While modeling transmission lines is in general a complex undertaking, it is surprisingly simple to model a...]]>

Swedish “Bygglek” = build and play. Swedish “Bygglek” = build and play.

Swedish “Bygglek” = build and play. Swedish “Bygglek” = build and play.

Swedish “Bygglek” = build and play. Swedish “Bygglek” = build and play.

Swedish “Bygglek” = build and play. Swedish “Bygglek” = build and...]]>

The...]]>

Single-carrier modulation, such as QAM,...]]>

In the following analysis, we assume that signal phase at the amplifier output is not a function of amplitude. With this assumption, the output y of a non-ideal...]]>

b = [b0 b1 b2 b1 b0]

These coefficients form a 5-tap symmetrical FIR filter having constant group delay [1,2] over 0 to fs/2 of:

D = (ntaps – 1)/2 = 2 samples

For a symmetrical filter with an odd number of taps, the group delay is always an integer number of samples, while for one with an even...]]>

Figure 1 is a simplified block...]]>

This post provides a Matlab function to do the same for Butterworth bandpass IIR filters. Compared to conventional implementations, bandpass filters based on biquads are less sensitive to coefficient quantization [2]. This becomes important when designing...]]>

The DFT of the sampled signal x(n) is defined as:

$$X(k)=\sum_{n=0}^{N-1}x(n)e^{-j2\pi kn/N}...]]>

A sinx/x corrector is a digital (or analog) filter used to compensate for the sinx/x roll-off inherent in the digital to analog conversion process. In DSP math, we treat the digital signal...]]>

A...]]>

post I presented Matlab code to synthesize multiplierless FIR filters using Canonic Signed Digit (CSD) coefficients. I included a function dec2csd1.m (repeated here in Appendix A) to convert decimal integers to binary CSD values. Here I want to use that function to illustrate a few properties of CSD numbers.

In a binary signed-digit number system, we allow...]]>

A filter coefficient can be represented as a sum of powers of 2. For example, if a coefficient = decimal 5 multiplies input x, the output is $y= 2^2*x + 2^0*x$. The factor of $2^2$ is then implemented with a shift of 2 bits. This method is not efficient for...]]>

Having a Z-domain model of the DPLL will allow us to do three things:

However, for a random signal, PAPR is a statistical quantity. We have to ask, what...]]>

Consider a rectangular pulse 32 samples long with fs ...]]>