Message Signal and Carrier Signal:
The message signal is given as m(t) = sinc(t) * sinc^2(t), where sinc(t) represents the sinc function defined as sin(t) / t. The carrier signal is given as c(t) = Acos(2πfct), where A is the amplitude and fc is the frequency of the carrier signal.

Modulation:
Modulation is the process of superimposing the message signal onto the carrier signal. In this case, the message signal m(t) is modulated onto the carrier signal c(t) using amplitude modulation (AM) technique, resulting in the modulated signal s(t).

Modulated Signal:
The modulated signal s(t) can be expressed as s(t) = m(t) * c(t), where * represents the multiplication operation. Substituting the expressions for m(t) and c(t), we get:
s(t) = sinc(t) * sinc^2(t) * Acos(2πfct)

Bandwidth of Modulated Signal:
The bandwidth of a signal is defined as the range of frequencies over which the signal is non-zero or significant. In case of AM modulation, the bandwidth of the modulated signal can be determined using Carson's rule.

Carson's Rule:
According to Carson's rule, the bandwidth of an AM signal is equal to twice the maximum frequency present in the message signal, i.e., BW = 2B, where B is the maximum frequency of the message signal.

Maximum Frequency of Message Signal:
To determine the maximum frequency of the message signal, we need to analyze the sinc(t) * sinc^2(t) function. The sinc(t) function has a single zero-crossing at t = 0 and its frequency content extends infinitely. The sinc^2(t) function is the squared version of sinc(t), resulting in double the frequency content. Therefore, the maximum frequency of the message signal is determined by the sinc(t) function, which is 1/π.

Bandwidth Calculation:
Using Carson's rule, the bandwidth of the modulated signal is given by BW = 2B, where B is the maximum frequency of the message signal.
In this case, B = 1/π.
Therefore, the bandwidth of the modulated signal is BW = 2 * (1/π) = 2/π.

Final Answer:
The bandwidth of the modulated signal is 2/π.

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