Signal Processing for Communication Systems
Key focus: How to implement the basic addition operation on two discrete time signal sequences. Python code for signal addition is provided. Signal addition Given two discrete-time sequences \(x_1[n]\) and \(x_2[n]\), the addition of these two sequences is represented as \(x_1[n]+ x_2[n]\). The start of the sample at \(n=0\) can be different for these two … Read more
In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the real-valued exponential sequence. (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence) A complex-valued exponential sequence in signals and systems is a discrete-time … Read more
In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the real-valued exponential sequence. (see the articles on unit sample sequence, unit step sequence, complex exponential sequence) An exponential sequence in signals and systems is a discrete-time sequence … Read more
In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the unit step sequence (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence, complex exponential sequence). Unit Step Sequence A unit step sequence is … Read more
In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the unit sample sequence (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence, complex exponential sequence) A unit sample sequence, also known as an … Read more
In the context of signal and systems, analog and discrete signals are two different types of signals that convey information. Analog signal An analog signal is a continuous signal that varies smoothly over time. It can take on any value within a certain range. Analog signals are represented by physical quantities such as voltage, current, … Read more
Keywords: orthogonality, vectors, functions, dot product, inner product, discrete, Python programming, data analysis, visualization Orthogonality Orthogonality is a mathematical principle that signifies the absence of correlation or relationship between two vectors (signals). It implies that the vectors or signals involved are mutually independent or unrelated. Two vectors (signals) A and B are said to be … Read more
Keywords: Markov Chain, Python, probability, data analysis, data science Markov Chain Markov chain is a probabilistic models that describe a sequence of observations whose occurrence are statistically dependent only on the previous ones. This article is about implementing Markov chain in Python Markov chain is described in one of the earlier posts. For better understanding … Read more
Key focus: Array pattern multiplication: total radiation pattern of N identical antennas is product of single-antenna radiation vector and array factor. Antenna arrays Ferdinand Braun invented the Phased Array Antenna in 1905. He shared a Nobel Prize in physics in recognition of their contributions to the development of wireless telegraphy. An antenna array is a … Read more
Key focus: Simulate bit error rate performance of Binary Phase Shift Keying (BPSK) modulation over AWGN channel using complex baseband equivalent model in Python & Matlab. Why complex baseband equivalent model The passband model and equivalent baseband model are fundamental models for simulating a communication system. In the passband model, also called as waveform simulation … Read more