A speech signal, band limited to $4\:\text{kHz}$, is sampled at $1.25$ times the Nyquist rate. The speech samples, assumed to be statistically independent and uniformly distributed in the range $-5\:V$ to $+5\:V$, are subsequently quantized in an $8$-bit uniform quantizer and then transmitted over a voice-grade $\text{AWGN}$ telephone channel. If the ratio of transmitted signal power to channel noise power is $26\:\text{dB}$, the minimum channel bandwidth required to ensure reliable transmission of the signal with arbitrarily small probability of transmission error (rounded off to two decimal places) is _____ $\text{kHz}$.
