BPSK

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Hamming (7,4) code with soft and hard decoding

by Krishna Sankar on March 15, 2012

ber_plot_hamming_7_4_code_soft_and_hard_decode_in_awgn

An earlier post we discussed hard decision decoding for a Hamming (7,4) code and simulated the the bit error rate. In this post, let us focus on the soft decision decoding for the Hamming (7,4) [...]

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BER for BPSK in ISI channel with MMSE equalization

by Krishna Sankar on January 24, 2010

BER plot for BPSK in a 3 tap ISI channel with MMSE equalizer

In the past, we had discussed BER for BPSK in flat fading Rayleigh channel and BER for BPSK in a frequency selective channel using Zero Forcing Equalization. In this post, lets discuss a frequency selective [...]

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BER for BPSK in ISI channel with Zero Forcing equalization

by Krishna Sankar on November 29, 2009

Frequency response Zero Forcing equalizer

In the past, we had discussed BER for BPSK in flat fading Rayleigh channel. In this post, lets discuss a frequency selective channel with the use of Zero Forcing (ZF) equalization to compensate for the [...]

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Hamming (7,4) code with hard decision decoding

by Krishna Sankar on September 29, 2009

BER plot for Hamming (7,4) code with hard decision decoding in AWGN

In previous posts, we have discussed convolutional codes with Viterbi decoding (hard decision, soft decision and with finite traceback). Let us know discuss a block coding scheme where a group of information bits is mapped [...]

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Viterbi with finite survivor state memory

by Krishna Sankar on July 27, 2009

BER_vs_traceback_viterbi_decode_ebno_4db

In the post on Viterbi decoder and soft input Viterbi decoder, we discussed a convolutional encoding scheme with rate 1/2, constraint length and having generator polynomial and having generator polynomial . If the number of [...]

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BER with Matched Filtering

by Krishna Sankar on May 8, 2009

Transmit spectrum for a rectangular matched filter

In the post on transmit pulse shaping filter, we had discussed pulse shaping using rectangular and sinc. In this post we will discuss about optimal receiver structure when pulse shaping is used at the transmitter. [...]

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Derivation of BPSK BER in Rayleigh channel

by Krishna Sankar on January 22, 2009

This is a guest post by Jose Antonio Urigüen who is an Electrical and Electronic Engineer currently studying an MSc in Communications and Signal Processing at Imperial College in London. This guest post has been [...]

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Soft Input Viterbi decoder

by Krishna Sankar on January 14, 2009

BER plot for BPSK with AWGN in soft decision Viterbi decoding

In two previous posts, we have discussed Convolutional Coding and the associated hard decision Viterbi decoding. In this post lets extent Viterbi decoding algorithm to soft input decision scheme. The modulation used is BPSK and [...]

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Viterbi decoder

by Krishna Sankar on January 4, 2009

Branch Metric and Path Metric computation for Viterbi decoder

Coding is a technique where redundancy is added to original bit sequence to increase the reliability of the communication. Lets discuss a simple binary convolutional coding scheme at the transmitter and the associated Viterbi (maximum [...]

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MIMO with ML equalization

by Krishna Sankar on December 14, 2008

BER plot 2x2 MIMO Rayleigh channel with Maximum Likelihood equalisation

We have discussed quite a few receiver structures for a 2×2 MIMO channel namely, (a) Zero Forcing (ZF) equalization (b) Minimum Mean Square Error (MMSE) equalization (c) Zero Forcing equalization with Successive Interference Cancellation (ZF-SIC) [...]

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MIMO with MMSE SIC and optimal ordering

by Krishna Sankar on December 6, 2008

2x2 MIMO MMSE-SIC equalization

This post attempts to build further on the MIMO equalization schemes which we have discussed – (a) Minimum Mean Square Error (MMSE) equalization, (b) Zero Forcing equalization with Successive Interference Cancellation (ZF-SIC) and (c) ZF-SIC [...]

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MIMO with ZF SIC and optimal ordering

by Krishna Sankar on November 29, 2008

2x2 MIMO equalized by ZF-SIC with optimal ordering

In previous posts, we had discussed equalization of a 2×2 MIMO channel with Zero Forcing (ZF) equalization and later, Zero Forcing equalization with successive interference cancellation (ZF-SIC). In this post, we will explore a variant [...]

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MIMO with Zero Forcing Successive Interference Cancellation equalizer

by Krishna Sankar on November 9, 2008

BER plot for BPSK in 2x2 MIMO channel with Zero Forcing Successive Interference Cancellation equalization

The post on MIMO with Zero Forcing equalizer discussed a probable way of equalizing a 2×2 MIMO channel. The simulated results with the 2×2 MIMO system with zero forcing equalizer showed matching results as obtained [...]

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MIMO with MMSE equalizer

by Krishna Sankar on November 2, 2008

BER plot for 2x2 MIMO with MMSE equalization for BPSK in Rayleigh channel

In a previous post, we had discussed a 2×2 MIMO transmission using BPSK modulation in Rayleigh channel with a Zero Forcing equalizer. The simulated results with the 2×2 MIMO system  with zero forcing equalizer showed [...]

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