rootmusicFrequencies and power of sinusoids using the root MUSIC algorithmCalling Sequence
w = rootmusic(x,p)
[w,pow] = rootmusic(x,p)
[f,pow] = rootmusc(...,fs)
[w,pow] = rootmusic(...,'corr')
Parametersx: int|double - vector|matrixInput signal. In case of a matrix, each row of x represents a
seperate observation of the signal. If 'corr' flag is specified,
then x is the correlation matrix.
If w is not specified in the input, it is determined by the
algorithm. If x is real valued, then range of w is [0, pi].
Otherwise, the range of w is [0, 2pi)p: int|double - scalar|vectorp(1) is the dimension of the signal subspace
p(2), if specified, represents a threshold that is multiplied by
the smallest estimated eigenvalue of the signal's correlation matrix.w: int|double - vectorw is the vector of normalized frequencies over which the
pseuspectrogram is to be computed.pow: the estimated absolute value squared amplitudes of the sinusoids at the frequencies w.fs: int|double - scalar (Default = 1)Sampling rate. Used to convert the normalized frequencies (w) to
actual values (f) and vice-versa.corr: If specified, x is interpreted as a correlation matrix rather than a matrix of the signal data. For x to be a correlation matrix, x must be a square matrix and all its eigenvalues must be nonnegative.DescriptionW = rootmusic(X,P) returns the frequencies in radians/sample for the P complex exponentials (sinusoids) that make up the signal X.
The input X is specified either as: A row or column vector representing one observation of the signal
A rectangular array for which each row of x represents a separate observation of the signal (for example, each row is one output of an array of sensors, as in array processing), such that x'*x is an estimate of the correlation matrixExamplesSee also| peig | pmusic | rooteigReferencesMonson H. Hayes, Statistical Digital Signal Processing And Modeling,& Sons, Inc, [Section 8.6.3]arguments- double - vectorfrequencies of the complex sinusoids- double - vectorabsolute value squared amplitudes of the sinusoids atfrequencies w