Questions tagged [algorithms]

Algorithm is a method expressed in a finite list of steps of well-defined instructions to process a signal.

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68 votes
10 answers
48k views

Algorithm(s) to mix audio signals without clipping

I'd like to mix two or more PCM audio channels (eg recorded samples) digitally in an acoustically-faithful manner, preferably in near-real-time (meaning little or no peek-ahead). The physically "...
bryhoyt's user avatar
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13 votes
9 answers
3k views

Estimate Sine Frequency under White Noise — simple and effective method

Given a sinusoidal signal in white noise, how can one efficiently determine its frequency?
RyanRonald's user avatar
19 votes
9 answers
7k views

Is there an algorithm to compute the phase for a single frequecy?

If you have a function $f(t)=A \cdot \sin(\omega t+\phi)$, and reference sin wave $\sin(\omega x)$ what would be a fast algorithm to compute $\phi$? I was looking at Goertzel algorithm, but it doesn'...
SamFisher83's user avatar
10 votes
4 answers
3k views

Books/resources for implementing various mathematical functions in fixed point arithmetic for DSP purposes

I'm looking for books or resources that cover the following in detail: implementing mathematical functions (e.g., logarithm, exponential, sine, cosine, inverse) in fixed point arithmetic for DSP ...
RuD's user avatar
  • 103
9 votes
5 answers
779 views

Identify abrupt changes in an audio waveform

I have an audio file which was created by substituting multiple speech segments into an original utterance. I want to find the timestamps where such substitutions happened, so I guess that one thing I ...
Long's user avatar
  • 143
27 votes
6 answers
3k views

Calculating the PDF of a waveform from its samples

A while ago I was trying different ways to draw digital waveforms, and one of the things I tried was, instead of the standard silhouette of the amplitude envelope, to display it more like an ...
endolith's user avatar
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13 votes
2 answers
2k views

Detecting drum bpm in a noisy .wav file

I am looking for algorithm(s) to solve the following problem: Given a noisy .wav sound capture (some wind + friction noise on the microphone), how to detect the BPM of a soft drum beat? I have ...
Alex K's user avatar
  • 275
9 votes
2 answers
1k views

Duration of unknown rectangular pulse with additive white Gaussian noise

Problem. There is a discrete signal $f[i]$ (example below). It is known, that $f[i]$ have a form of rectangular pulse with additive white Gaussian noise. $f[i] = s[i] + n[i]$, $s[i] = \alpha(\...
Nikolai Popov's user avatar
7 votes
2 answers
2k views

Kernel Convolution in Frequency Domain - Cyclic Padding

I don't know whether this is the right place to post this, but I suppose it is. I know that frequency multiplication = circular convolution in time space for discrete signals (vectors). I also know ...
Johnny Pauling's user avatar
34 votes
5 answers
5k views

What factors should I consider in choosing an edge detection algorithm?

I've learned about a number of edge detection algorithms, including algorithms like Sobel, Laplacian, and Canny methods. It seems to me the most popular edge detector is a Canny edge detector, but is ...
PearsonArtPhoto's user avatar
14 votes
2 answers
5k views

methods of computing fixed point atan2 on FPGA

I am in need of computing atan2(x,y) on an FPGA with a continuous input/output stream of data. I managed to implement it using unrolled, pipelined CORDIC kernels, ...
user2913869's user avatar
2 votes
3 answers
3k views

Get a N-FFT with two N/2-FFT already computed

After somme researchs on the web, I don't find the answer of my problem (or I don't understand it) and I hope this post will succeed. I'm working on a real-time FFT convolution algorithm (C++) which ...
ThomasLM's user avatar
2 votes
2 answers
1k views

Chromatography Baseline Placement

I have been looking around on Google, and I have not been able to find an explanation of how to do baseline placement in chromatography. what are some algorithms for placing a baseline on a ...
user avatar
37 votes
4 answers
14k views

What are good ways to detect signal clipping in a recording?

Given a recording I need to detect whether any clipping has occurred. Can I safely conclude there was clipping if any (one) sample reaches the maximum sample value, or should I look for a series of ...
Han's user avatar
  • 799
19 votes
9 answers
3k views

Efficient Magnitude Comparison for Complex Numbers

Is there a more efficient algorithm (or what is the most efficient known algorithm) to select the larger of two complex numbers given as $I + jQ$ without having to compute the squared magnitude as $$...
Dan Boschen's user avatar
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18 votes
7 answers
6k views

What are some of the differences between DFT and FFT that make FFT so fast?

I'm trying to understand FFTs, here's what I have so far: In order to find the magnitude of frequencies in a waveform, one must probe for them by multiplying the wave by the frequency they are ...
Seph Reed's user avatar
  • 305
11 votes
1 answer
7k views

Applying A-weighting

I want to calculate the loudness of a given signal and I've come across this thread. I'm slightly confused about the A-Weighting aspect of it. I can't post images, but I think this site has the ...
TryNCode's user avatar
  • 213
10 votes
3 answers
18k views

Digital Distortion effect algorithm

I read the DAFX book by Udo Zölzer about the distortion effect at pages 124-125 and it says that suitable simulation of the distortion is given by the function: $$f(x)=\frac{x}{|x|}\left(1-e^{x^2/|x|}...
Elior's user avatar
  • 231
9 votes
4 answers
9k views

Optimized ANSI C libraries for DSP

I am new to DSP. Are there good open source ANSI C implementations of DSP algorithms? MATLAB is great at prototyping but once we move to coding in C, it takes time and we end up making too many ...
Ktuncer's user avatar
  • 816
8 votes
1 answer
1k views

Detecting a fixed template image out of a semi-constant frame of video

There are a number of videos that I'm looking to process of different video games to detect various "states" in them. The first game that I am tackling is any edition of Super Street Fighter 4. In ...
casperOne's user avatar
  • 141
5 votes
4 answers
3k views

Algorithm for 1d spline interpolation suitable for 8 bit microcontroler

What is a concise, fast, down to earth algorithm for doing (or closely approximating) spline interpolation on a 1d continuous stream of data? (Edit1: The paragraph below equates to saying "the ...
Charlie's user avatar
  • 193
3 votes
1 answer
2k views

Efficient FFT computation of a zero-padded vector

I don't think this question has a good answer but will ask nevertheless since it has been bothering me for a few days. I am interested in computing as efficiently as possible the N-point FFT of a N/2 ...
Lolo's user avatar
  • 206
2 votes
1 answer
311 views

How CDMA receiver extract it's corresponding data from the receiving modulated & superposition-ed signal?

I have difficulty understanding CDMA. I have read all those PN/walsh code things, and understand orthogonality very well. But none of the resources I found demonstrate how a receiver end extract ...
somebody4's user avatar
  • 141
22 votes
2 answers
11k views

Inverse Short Time Fourier Transform algorithm described in words

I'm trying to conceptually understand what is happening when the forward and inverse Short Time Fourier Transforms (STFT) are applied to a discrete time-domain signal. I've found the classic paper by ...
Nicholas Kinar's user avatar
14 votes
6 answers
6k views

What Approximation Techniques Exist for Computing the Square Root?

I have very limited resources as I'm working with a microcontroller. Is there a taylor-series expansion, common lookup table, or recursive approach? I'd prefer to do something without using math.h's ...
tarabyte's user avatar
  • 395
14 votes
1 answer
2k views

Estimating onset time of a tone burst in noise?

What techniques might one use to estimate the onset time of a sinusoidal tone burst in a noisy signal? Assume the tone burst has a known fixed frequency (but unknown phase) and a very sharp rise ...
hotpaw2's user avatar
  • 35.2k
13 votes
2 answers
3k views

What Is the Algorithm Behind Photoshop's "Black and White" Adjustment Layer?

Can someone explain the algorithm behind the "Black and White" adjustment layer in photoshop? I have to reproduce it using C++ for an application that emphasizes non-red/magenta(ish) pixels ...
Blamoo's user avatar
  • 133
11 votes
3 answers
1k views

How to measure the agreement between to curves?

I have values (plotted below) of expected RSSI values over time that I would like to compare with my measured RSSI values. What I was looking for was a way to quantify it so I can change parameters ...
toozie21's user avatar
  • 379
8 votes
3 answers
502 views

Best Approach to Rank Complex Magnitude Comparision Problem

This is in reference to the responses for an efficient algorithm for the comparison of bounded fixed point complex numbers at this post. Efficient Magnitude Comparison for Complex Numbers See the ...
Dan Boschen's user avatar
  • 48.8k
6 votes
1 answer
4k views

Voice Audio Detection algorithm

I have to detect speech intervals in large pre-recorded files in my project. I think, there won't be so much noise in the background (audio will be recordered in the room or even in the studio), but ...
emptysamurai's user avatar
6 votes
4 answers
16k views

Simple and efficient algorithm to detect frequency and phase of a sine signal

I need an algorithm to detect frequency and phase of a pure sine signal. The frequency of the input signal changes between 0 and 100 Hz. The value of the signal gets captured with a frequency of 20 ...
jurij's user avatar
  • 315
6 votes
2 answers
8k views

Using the Kalman filter given acceleration to estimate position and velocity

I am reading data from an accelerometer. I want to use this data to estimate velocity and position. Originally, I performed a double integration of acceleration to read this data, and as confirmed by ...
angryip's user avatar
  • 283
5 votes
2 answers
3k views

Using MFCC in spoken words recognition

We're trying to implement a "simple" speech recognition application in MATLAB (isolated words from a very limited dictionary). We've been trying the following methods: Extract MFCC coefficients for ...
Ofir's user avatar
  • 71
5 votes
2 answers
780 views

How to measure aliasing?

Aliasing is bad, and we want good filters when downsampling. While what qualifies as aliasing is well-defined mathematically, and we can manually design filters with various tradeoffs, how do we ...
OverLordGoldDragon's user avatar
5 votes
1 answer
714 views

One Too Many Non-Zero Eigenvalues in MUSIC DF Algorithm

I'm working on simulating the MUSIC algorithm in MATLAB to determine the azimuth angle of arrival of a simulated signal. My virtual antenna array consists of 4 antennas arranged in a plane. While I ...
OGBerglemir's user avatar
5 votes
1 answer
714 views

How to Use the Walsh Hadamard Transform to Filter 24 bit RGB Color Values in a Localized Spatial Region?

After reading this Signal processing Stack Exchange article tonight, What Is the Walsh Hadamard Transform? How Could One Use It in Image Processing?, I became interested in applying the Walsh-Hadamard ...
Frank's user avatar
  • 151
3 votes
1 answer
1k views

Chirp z algorithm clarification

I am attempting to implement a chirp z algorithm to handle random sized DFTs, and I can not seem to obtain any meaningful results. I have gone over several write ups and "think" I have a handle on ...
Rabayn's user avatar
  • 51
2 votes
1 answer
457 views

How do audiobook players manage to quickly speedup/slowdown playback speed without using more memory?

Many audiobook player apps on Android have a reading speed slider which lets us choose the reading speed e.g. 0.5x 0.75x 1.00x 1.25x 1.50x. This is time-stretching ...
xxx374562's user avatar
  • 241
2 votes
1 answer
9k views

Use Butterworth and Chebychev filters

I need to calculate frequency response, phase response and apply to signals the Butterworth, Chebychev1 and Chebychev2 band-pass filters. I'm developing in C++ with Qt, and I'm looking for algorithms ...
gregseth's user avatar
  • 121
2 votes
2 answers
2k views

Q matrix and updating times in a Kalman filter

The context of the problem is that I have several robots located remotely which give their position (x,y coordinates) every x seconds and send it to a centralized remote server. The value of the ...
YisasL's user avatar
  • 121
2 votes
1 answer
2k views

Computational Complexity of Polyphase Resampling

does someone know the approximate computational complexity of a polyphase resampling algorithm? I am trying to find a good argument to prefer a polyphase resampling of Scipy over the FFT resampling ...
openloop's user avatar
1 vote
2 answers
800 views

Extending Goertzel algorithm to 24 kHz, 32 kHz and 48 kHz

I'm learning to implement Goertzel's algorithm to detect DTMF tones from recorded wave files. I got one implemented in python from here. It supports audio sampled at 8 kHz and 16 kHz. I would like to ...
skrowten_hermit's user avatar
1 vote
2 answers
2k views

Understanding Voss-McCartney pink noise generation algorithm

I'm implementing the Voss-McCartney pink noise generation algorithm. If you follow the link above, you can read: from James McCartney 2 Sep 1999 21:00:30 -0600: The top end of the ...
Sylvain Leroux's user avatar
0 votes
2 answers
603 views

Digital Panning Effect

To get a panning effect I know that there is a need for a Circular Matrix. The angle is can be set as a default or I can let the user to select the angle. So if the angle is $\theta$, the circular ...
Elior's user avatar
  • 231
0 votes
1 answer
259 views

The selection of the amplitude of the signal, consisting of rectangular pulses, at different frequencies

I already asked a similar question, but did not receive an answer and did not find a solution, I want to make another attempt to get to the bottom of the truth. There is a signal consisting of ...
red15530's user avatar