c2mpir
Functions
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int main(int argc, char *argv[])
c2mpir [ option ] [ infile ]
-m int
order of cesptral coefficients \((0 \le M_1)\)
-M int
order of impulse response \((0 \le M_2)\)
infile str
double-type cepstral coefficients
stdout
double-type minimum phase impulse response
- Parameters
argc – [in] Number of arguments.
argv – [in] Argument vector.
- Returns
0 on success, 1 on failure.
See also
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class sptk::CepstrumToMinimumPhaseImpulseResponse
Convert minimum phase impulse response to cepstrum.
The input is the \(M_1\)-th order cepstral coefficients:
\[ \begin{array}{cccc} c(0), & c(1), & \ldots, & c(M_1), \end{array} \]and the output is the \(M_2\)-th order impulse response:\[ \begin{array}{cccc} h(0), & h(1), & \ldots, & h(M_2). \end{array} \]The truncated impulse response is obtained from the following recursion formula:\[\begin{split} h(n) = \left\{ \begin{array}{ll} \exp c(0), & n = 0 \\ \displaystyle\sum_{k=1}^{n} \frac{k}{n} c(k) h(n-k). & n > 0 \end{array} \right. \end{split}\][1] A. V. Oppenheim and R. W. Schafer, “Discrete-time signal processing, 3rd edition,” Prentice-Hall Signal Processing Series, pp. 985-986, 2009.
Public Functions
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CepstrumToMinimumPhaseImpulseResponse(int num_input_order, int num_output_order)
- Parameters
num_input_order – [in] Order of cepstral coefficients, \(M_1\).
num_output_order – [in] Order of impulse response, \(M_2\).
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inline int GetNumInputOrder() const
- Returns
Order of cepstral coefficients.
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inline int GetNumOutputOrder() const
- Returns
Order of impulse response.
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inline bool IsValid() const
- Returns
True if this object is valid.
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bool Run(const std::vector<double> &cepstrum, std::vector<double> *minimum_phase_impulse_response) const
- Parameters
cepstrum – [in] \(M_1\)-th order cepstral coefficients.
minimum_phase_impulse_response – [out] \(M_2\)-th order impulse response.
- Returns
True on success, false on failure.
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CepstrumToMinimumPhaseImpulseResponse(int num_input_order, int num_output_order)