I guess it's the purpose of the concept of "Service".
my-service.service.ts
@Injectable()
export class MyService<T> {
  public stream$ = new Subject<T>();
  public getSteam$() {
    return this.stream$;
  }
  public publish(value: T) {
    this.stream$.next(value);
  }
}
child.component.ts
@Component()
export class ChildComponent<T> implements OnInit, OnDestroy {
  public whoami = 'child';
  private subscription: Subscription;
  constructor(
    private myService: MyService
  ) {}
  public ngOnInit() {
    this.subscription = this.myService.getStream$()
      .subscribe((value: T) => {
          this.functionToTrigger(value);
      });
  }
  public ngOnDestroy() {
    if(this.subscription) this.subscription.unsubscribe();
  }
  private functionToTrigger(arg: T) {
    // do your stuff
    console.log(JSON.stringify(arg))
  }
}
parent.component.ts
@Component()
export class ParentComponent<T> {
  public whoami = 'parent';
  constructor(
    private myService: MyService<T>
  ) {}
  public notifiyChild(value: T) {
    this.myService.publish(value);
  }
}