Analysing Attack Times

Python. I used the spectrogram to detect attack times in a single line melody by shaping signal’s power graph. It works better with only slow passages in which the notes are separable from each other. […]

Pell Equation

C++. This is the problem 66 from Project Euler. Question: Consider quadratic Diophantine equations of the form:  x2 – Dy2 = 1 For example, when D=13, the minimal solution in x is 6492 – 13×1802 = 1. It can be assumed that there […]

Pentagonal Numbers

C++. This is the problem 44 from Project Euler. Question: Pentagonal numbers are generated by the formula, Pn=n(3n−1)/2. The first ten pentagonal numbers are: 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, … It […]

Circular Primes

Matlab. This is the problem 35 in Project Euler. I developed an algorithm to find total number of circular primes under a positive integer as input.

Digit Fifth Powers

C++, Matlab. This is the problem 30 from Project Euler. Question: Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits: 1634 = 1^4 + 6^4 + 3^4 + […]

Numbers on Spiral Diagonals

C++, Matlab. This is the problem 28 from Project Euler website. Question: Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows: 21 22 […]

Parabolic Peak Interpolation

Python. I applied interpolation technique to the spectral peak based on fundamental frequency after FFT was taken. It is basically to find a better estimation of the peak by using the max spectral bin (of […]

Hamming, Blackman, and Blackman-Harris

Python. This is my implementation for some of windows used in audio applications. I chose Hamming, Blackman, and Blackman-Harris window functions. Instead of using FFT pack, I directly applied DFT since the DFT size is […]

Discrete Fourier Transform

Python. This is my DFT implementation to test a wav file. It only accepts mono wav files with 44100 Hz sample rate. I used 32 floating point (with max 23 mantissa) in the range -1 […]

Largest Palindrome

Matlab. This is the problem 4 in Project Euler. I made some simple mistakes while trying to write an efficient algorithm. There were two inputs; digit number of the integer and limit number. For example, […]

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