# The Hilbert Transform - Part 2

This is part two of a multi-part series that defines The Hilbert Transform and its significance. In this part we talk about some of the properties of Hilbert Transform.

Digital Signal Processing

This is part two of a multi-part series that defines The Hilbert Transform and its significance. In this part we talk about some of the properties of Hilbert Transform.

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 […]

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.

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 […]

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 […]

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, […]

In digital communication systems, Analog-to-Digital Converter (ADC) is the main interface between the analog domain and the digital domain. The continuous rising demand for high data rate communication systems has been creating the need for wide-band ADCs with a high sampling rate and high accuracy. These ADCs need to achieve high speed and high resolution […]

This is the second part of our "MATLAB tips and tricks" series. As we also mentioned in part 1, MATLAB is the programming language of choice for many engineers, scientists, data analysts, and more. In this post we introduce some interesting MATLAB tips and tricks. They can be used to make writing code easier and shorter, also to write codes that run faster.

Single Carrier Frequency Division Multiple Access (SC-FDMA) is an alternative modulation scheme to Orthogonal Frequency Division Multiple Access (OFDMA) employed in the uplink Long Term Evolution (LTE) cellular wireless communications systems. The SC-FDMA has similar performance and essentially the same overall complexity as OFDMA system. The OFDMA waveform exhibits a high Peak-to-Average Power Ratio (PAPR), requiring the power amplifier to operate with a large back-off from their peak power. This results in the power amplifier to operate with low efficiency and places a significant burden on battery-limited mobile handsets.

hen we first learn about digital microsystems, we often start by figuring out how information can be represented using bits of information, 0 and 1. Representing any number larger than 1 or any fraction requires that we use several bits. Then, we usually proceed to learn about sign-and-magnitude and 2's complement notations. We may also […]