The Hilbert Transform - Part 1

This is part one of a multi-part series that defines The Hilbert Transform and its significance. 1. Definition The Hilbert transform of a signal is defined as \begin{eqnarray} \mathscr{H}[g(t)] = g(t) * \frac{1}{\pi t} = \frac{1}{\pi} \int_{-\infty}^{\infty} \frac{g(\tau)}{t-\tau} d\tau = \frac{1}{\pi} \int_{-\infty}^{\infty} \frac{g(t-\tau)}{\tau} d\tau \end{eqnarray} The Hilbert transform of is the convolution of with the signal […]

Some great free Electrical Engineering books

In this post we introduce some great free Electrical Engineering books. Although free sometime means low-quality, but as you will find the books in this list are written buy some of the most well known experts in their fields.

Know Your Eb/N0 - Part 3

This is the last part of our three-part series that explains the meaning of in digital communication context. Calculating Having understood how Gaussian noise comes to affect transmitted symbols, it remains to define an appropriate average signal energy, and hence a signal-to-noise ratio (SNR). A commonly used definition of SNR is , where is the […]

Know Your Eb/N0 - Part 2

This is the second part of our three-part series that explains the meaning of in digital communication context. Signal Constellations Often, particularly in the specification of signal sets used in modems, we rely on the notion of an orthonormal basis. A set is an orthonormal basis if   The linear span of consists of the […]

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You might not reuse stamps. Calculate how many stamps you're going to need. Each stamp is created in France with plenty of patience. Your letter carrier could also be able to inform you if it is possible to send an item with a single stamp. Before long you will require dedicated stamp albums for over […]

Know Your Eb/N0 - Part 1

This is part one of a three-part series that explains the meaning of in digital communication context. Introduction Every student of communications knows that digital communication system performance—for example, bit error rate (BER) or frame error rate (FER)—depends on the signal-to-noise ratio (SNR), with higher SNRs leading to lower BERs and FERs. Sometimes less clear, […]

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Step Response In a Hybrid Lumped-Distributed Network

Introduction Transmission line theory has been around for more than a century. However, the distributed nature of it has kept it interesting for all these years. One interesting subject is the step response in a hybrid lumped-distributed network. While for a purely lumped network it is quite easy to analyze and derive the response equation, for a distributed or a […]

Behavior of Oscillators under Injection Pulling

Oscillators are integral parts of many electronic devices. Majority of fundamental signal processing operations such as frequency translation, synchronization, and timing, require stable clocks derived from an electrical oscillator. An oscillator is generally susceptible to any external periodic signal whose frequency is close to the oscillation frequency or its integer harmonics. Without the loss of […]