1. A sound quality correction device, comprising: a time-domain characteristic parameters extraction module configured to analyze an audio input signal in a time domain to thereby extract time-domain characteristic parameters; a time/frequency conversion module configured to convert the audio input signal into a frequency-domain signal; a frequency-domain characteristic parameters extraction module configured to analyze an output from the time/frequency conversion module to thereby extract frequency-domain characteristic parameters; a first speech score calculation module configured to calculate a first speech score based on outputs from the time-domain characteristic parameters extraction module and the frequency-domain characteristic parameters extraction module, the first speech score representing a similarity to speech signal characteristics; a first music score calculation module configured to calculate a first music score based on the outputs from the time-domain characteristic parameters extraction module and the frequency-domain characteristic parameters extraction module, the first music score representing a similarity to music signal characteristics; a compensation filtering processing module configured to perform at least one of processings of a center enhancement, a speech band enhancement and a noise suppression onto the audio input signal; a second speech score calculation module configured to calculate a second speech score based on an output from the compensation filtering processing module, the second speech score representing a similarity to the speech signal characteristics; a second music score calculation module configured to calculate a second music score based on the output from the compensation filtering processing module, the second music score representing a similarity to the music signal characteristics; a score correction module configured to correct the first speech score based on a difference between the first speech score and the second speech score, and to correct the first music score based on a difference between the first music score and the second music score; and a sound quality correction module configured to perform a sound quality control on the audio input signal based on the speech score and the music score obtained from the score correction module.