Hidden Markov Models (HMM) – Simplified !!!

Markov chains are useful in computing the probability of events that are observable. However, in many real world applications, the events that we are interested in are usually hidden, that is we don’t observe them directly. These hidden events need to be inferred. For example, given a sentence in a natural language we only observe the … Read more

Markov Chains – Simplified !!

Key focus: Markov chains are a probabilistic models that describe a sequence of observations whose occurrence are statistically dependent only on the previous ones. ● Time-series data like speech, stock price movements.● Words in a sentence.● Base pairs on the rung of a DNA ladder. States and transitions Assume that we want to model the … Read more

Shannon limit on power efficiency – demystified

The Shannon power efficiency limit is the limit of a band-limited system irrespective of modulation or coding scheme. It informs us the minimum required energy per bit required at the transmitter for reliable communication. It is also called unconstrained Shannon power efficiency Limit. If we select a particular modulation scheme or an encoding scheme, we … Read more

Performance comparison of Digital Modulation techniques

Key focus: Compare Performance and spectral efficiency of bandwidth-efficient digital modulation techniques (BPSK,QPSK and QAM) on their theoretical BER over AWGN. More detailed analysis of Shannon’s theorem and Channel capacity is available in the following book● Wireless Communication Systems in Matlab (second edition), ISBN: 979-8648350779 available in ebook (PDF) format and Paperback (hardcopy) format. Simulation of various … Read more

Shannon theorem – demystified

Shannon theorem dictates the maximum data rate at which the information can be transmitted over a noisy band-limited channel. The maximum data rate is designated as channel capacity. The concept of channel capacity is discussed first, followed by an in-depth treatment of Shannon’s capacity for various channels. Introduction The main goal of a communication system … Read more