Jingbiao's Blog

「Hinc lucem et pocula sacra」

OFDM Audio Modem project

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Introduction An OFDM audio modem that uses speaker as transmitter and microphone as receiver is developed. Communicat...

Posted by Jingbiao on May 15, 2021, 9 minutes to read

OFDM with audio modem

List of useful Transforms Pointwise product of two function in continuous time domain → Linear convolution in frequency domain Pointwise product of two functions in the continuous...

Posted by Jingbiao on May 15, 2021, Less than 1 minute to read

Channel estimation with OFDM random symbol

Estimation, Synchronization, and Tips

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Channel estimation 1.Generate an n-length sequences of psuedo-random constellation values By means of psued...

Posted by Jingbiao on May 15, 2021, 9 minutes to read

Peterhouse Garden

Some pictures of the Peterhouse Garden in 2021 spring

Posted by Jingbiao on May 10, 2021, Less than 1 minute to read

3M1 Mathematical Methods Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \newcommand{\norm}[1]{\lVert #1 \rVert} \) Linear Algebra Hermitian Conjugate Transpose: \( M^H = \overline{M...

Posted by Jingbiao on April 10, 2021, 1 minute to read

3F8 Inference Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Algorithms MLE Maximum Likelihood Estimation of parameters: Given data $ y=\{ y_i \}$ and parameter $\theta$, t...

Posted by Jingbiao on April 10, 2021, 3 minutes to read

3F7 Information theory Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Full notes can be viewed over here: rendered version and LaTex Source Code Entropy Calculation of entropy, joint...

Posted by Jingbiao on April 10, 2021, 3 minutes to read

3F4 Data Transmission Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Finding Orthonormal Basis and optimal detection Finding the orthonormal basis for a group of waveform Represent...

Posted by Jingbiao on April 10, 2021, 4 minutes to read

3F3 Statistical Signal Processing Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Full notes can be viewed over here: rendered version and LaTex Source Code Markov Chain Proof of Markov Property...

Posted by Jingbiao on April 10, 2021, 2 minutes to read

3F1 Signals ad Systems Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Transfer Function for discrete system: For a system to have a transfer function, it has to be linear and time...

Posted by Jingbiao on April 10, 2021, 6 minutes to read