  In recent years, audio coding technology has been standardized based on
several frameworks that incorporate linear predictive coding (LPC). However,
coding the transient signal using frequency-domain LP residual signals remains
a challenge. To address this, temporal noise shaping (TNS) can be adapted,
although it cannot be effectively operated since the estimated temporal
envelope in the modified discrete cosine transform (MDCT) domain is accompanied
by the time-domain aliasing (TDA) terms. In this study, we propose the
modulated complex lapped transform-based coding framework integrated with
transform coded excitation (TCX) and complex LPC-based TNS (CTNS). Our approach
uses a 50\% overlap window and switching scheme for the CTNS to improve the
coding efficiency. Additionally, an adaptive calculation of the target bits for
the sub-bands using the frequency envelope information based on the quantized
LPC coefficients is proposed. To minimize the quantization mismatch between
both modes, an integrated quantization for real and complex values and a TDA
augmentation method that compensates for the artificially generated TDA
components during switching operations are proposed. The proposed coding
framework shows a superior performance in both objective metrics and subjective
listening tests, thereby demonstrating its low bit-rate audio coding.
