Table of Contents
What is boxboxcount in MATLAB?
BOXCOUNT Box-Counting of a D-dimensional array (with D=1,2,3). 1D segment, a 2D image or a 3D array. If C is a fractal set, with fractal dimension DF < D, then the number N of boxes of size R needed to cover the set scales as R^ (-DF).
What is x y = lowpass (X)?
y = lowpass (x,wpass) filters the input signal x using a lowpass filter with normalized passband frequency wpass in units of π rad/sample. lowpass uses a minimum-order filter with a stopband attenuation of 60 dB and compensates for the delay introduced by the filter. If x is a matrix, the function filters each column independently.
How is the stopband-edge frequency of a lowpass filter determined?
The stopband-edge frequency is determined as a result of the design. Design a lowpass FIR filter for data sampled at 48 kHz. The passband-edge frequency is 8 kHz. The passband ripple is 0.01 dB and the stopband attenuation is 80 dB. Constrain the filter order to 120.
Can I design lowpass filters with a specific order?
Another common scenario is when you have computed the available computational budget (MIPS) for your implementation and this affords you a limited filter order. FIR design functions in the Signal Processing Toolbox (including fir1, firpm, and firls) are all capable of designing lowpass filters with a specified order.
How many boxes are needed to cover a fractal set?
If C is a fractal set, with fractal dimension DF < D, then the number N of boxes of size R needed to cover the set scales as R^ (-DF). DF is known as the Minkowski-Bouligand dimension, or Kolmogorov capacity, or Kolmogorov dimension, or simply box-counting dimension.
How do you count boxes in fractals?
Once you complete one box counting, you double the number of boxes, thereby halving their sizes, and take another count. What you’re measuring is the number of boxes needed to cover or contain a fractal, as a function of box size or resolution.
How to do fractal dimension computation with fraclab?
Fractal dimension computation with FracLab. ( a ) Parameter selection for the boxcounting method. ( b ) The gray matter slice to be processed. ( c ) Selection of the interval of box sizes to calculate the linear regression for estimating the fractal dimension value … … …