Continuous Time Signal vs Discrete Time Signal

Continuous time signals and discrete time signals are two types of signals that are commonly used in the field of signal processing. The main difference between these two types of signals lies in the way they are defined and represented.

Continuous Time Signal:
A continuous time signal x(t) is defined for all values of time t in a continuous manner. This means that the signal is defined at every instant of time in a continuous fashion. The signal can take on any value at any point in time and can be represented by a continuous function.

Examples of continuous time signals include audio signals, video signals, and most real-world signals that are measured or observed in a continuous manner.

Discrete Time Signal:
A discrete time signal x(n) is defined only at specific points in time. The signal is represented by a sequence of values that are sampled at discrete points in time. These discrete points are usually equally spaced and are represented by an index n.

Examples of discrete time signals include digital audio signals, sampled data from sensors, and most signals that are processed by digital systems.

Explanation of the Correct Answer:
The signal denoted by x(t) is known as a continuous time signal. This is because the signal is denoted by a continuous variable "t" and is defined for all values of time in a continuous manner. The signal can take on any value at any point in time, and its representation would require a continuous function.

The other options provided in the question are not correct because:

- Option (a) states that the signal is a discrete time signal, which is not true.
- Option (c) states that the signal is both a discrete time signal and a continuous time signal, which is not correct. The signal cannot be both at the same time.
- Option (d) states that none of the above options are correct, which is also not true.

Therefore, the correct answer is option (b), which states that the signal denoted by x(t) is a continuous time signal.